• 제목/요약/키워드: prime radical

검색결과 96건 처리시간 0.027초

ON CONDITIONS PROVIDED BY NILRADICALS

  • Kim, Hong-Kee;Kim, Nam-Kyun;Jeong, Mun-Seob;Lee, Yang;Ryu, Sung-Ju;Yeo, Dong-Eun
    • 대한수학회지
    • /
    • 제46권5호
    • /
    • pp.1027-1040
    • /
    • 2009
  • A ring R is called IFP, due to Bell, if ab = 0 implies aRb = 0 for a, b $\in$ R. Huh et al. showed that the IFP condition is not preserved by polynomial ring extensions. In this note we concentrate on a generalized condition of the IFPness that can be lifted up to polynomial rings, introducing the concept of quasi-IFP rings. The structure of quasi-IFP rings will be studied, characterizing quasi-IFP rings via minimal strongly prime ideals. The connections between quasi-IFP rings and related concepts are also observed in various situations, constructing necessary examples in the process. The structure of minimal noncommutative (quasi-)IFP rings is also observed.

Pashinyan's Gambit or Armenia's Failed Revolution

  • ABADJIAN, VAHRAM
    • Acta Via Serica
    • /
    • 제5권1호
    • /
    • pp.121-152
    • /
    • 2020
  • The article is a critical examination of the political developments in Armenia since the 'Velvet Revolution' of April-May 2018, when, on the wave of massive protests against the ruling regime, new young forces came to power raising amongst broad segments of population enormous enthusiasm and hopes about radical reforms that would lead to profound transformations in the political and socio-economic spheres. It contains a thorough analysis of underlying political processes in the country in an attempt to answer a number of topical questions, so important to get a deeper understanding of the situation in Armenia and in the South Caucasus region. Based on the analysis of the new authorities' performance against the acknowledged benchmarks and standards of democracy consolidation, such as: separation of powers, independence of the judiciary, good governance, transitional justice the author comes to the conclusion that they failed to achieve any breakthrough in the above-mentioned fields. On the contrary, as demonstrated by concrete examples, what occurred in Armenia was not a revolution but a mere regime change under the leadership of Prime Minister Pashinyan, who gradually has concentrated in his hands executive, legislative, and quasi-totality of the judicial branch of power.

NONNIL-S-COHERENT RINGS

  • Najib Mahdou;El Houssaine Oubouhou
    • 대한수학회논문집
    • /
    • 제39권1호
    • /
    • pp.45-58
    • /
    • 2024
  • Let R be a commutative ring with identity. If the nilpotent radical N il(R) of R is a divided prime ideal, then R is called a ϕ-ring. Let R be a ϕ-ring and S be a multiplicative subset of R. In this paper, we introduce and study the class of nonnil-S-coherent rings, i.e., the rings in which all finitely generated nonnil ideals are S-finitely presented. Also, we define the concept of ϕ-S-coherent rings. Among other results, we investigate the S-version of Chase's result and Chase Theorem characterization of nonnil-coherent rings. We next study the possible transfer of the nonnil-S-coherent ring property in the amalgamated algebra along an ideal and the trivial ring extension.

타액선 악성 종양 환자에 대한 치료성적 (Treatment Results in Patients with Salivary Gland Malignancy)

  • 송달원;안재현;손진식;김태종;안병훈
    • 대한두경부종양학회지
    • /
    • 제16권1호
    • /
    • pp.46-51
    • /
    • 2000
  • Objectives: Primary malignant tumors in the salivary glands are relatively rare. Because of the rarity and the different histopathologic patterns, it is difficult to establish a uniform treatment strategy. The prime treatment of salivary gland malignancy is the surgery, but the role of radiotherapy has been under debate. Radiation therapy combined with conservative surgical procedures may be as successful and perhaps more rational treatment than radical surgery alone. The aim of this study is to evaluate clinical pattern, incidence, treatment modality and outcome of the salivary gland maligancy. Materials and Methods: The medical records of 32 patients with malignant neoplasm of salivary gland who treated at the Keimyung university Dongsan hospital were analyzed retrospectively. Results: The overall 5 year survival rate was 77.9% stage I : 100%, stage II : 75%, stage III : 66.7%, stage IV : 55.6%). The 5 year survival rate according to tumor grade was 100% in low grade malignancy, 71.8% in high grade malignancy. The 5 year survival rate according to treatment modalities was as follows: Surgery only group was 83.3%, combined treatment group with surgery and posoperative radiation was 74.6%. Conclusion: The factors affecting prognosis is variable, but the stage at the time of diagnosis, site of lesion, tumor grade, histologic subtype were important factors. Surgery was the prime treatment tool and postoperative radiotherapy was also imperative in higher stage patient, high grade tumor, or patients with positive surgical margin.

  • PDF

A GENERALIZATION OF THE ZERO-DIVISOR GRAPH FOR MODULES

  • Safaeeyan, Saeed;Baziar, Mohammad;Momtahan, Ehsan
    • 대한수학회지
    • /
    • 제51권1호
    • /
    • pp.87-98
    • /
    • 2014
  • Let R be a commutative ring with identity and M an R-module. In this paper, we associate a graph to M, say ${\Gamma}(M)$, such that when M = R, ${\Gamma}(M)$ is exactly the classic zero-divisor graph. Many well-known results by D. F. Anderson and P. S. Livingston, in [5], and by D. F. Anderson and S. B. Mulay, in [6], have been generalized for ${\Gamma}(M)$ in the present article. We show that ${\Gamma}(M)$ is connected with $diam({\Gamma}(M)){\leq}3$. We also show that for a reduced module M with $Z(M)^*{\neq}M{\backslash}\{0\}$, $gr({\Gamma}(M))={\infty}$ if and only if ${\Gamma}(M)$ is a star graph. Furthermore, we show that for a finitely generated semisimple R-module M such that its homogeneous components are simple, $x,y{\in}M{\backslash}\{0\}$ are adjacent if and only if $xR{\cap}yR=(0)$. Among other things, it is also observed that ${\Gamma}(M)={\emptyset}$ if and only if M is uniform, ann(M) is a radical ideal, and $Z(M)^*{\neq}M{\backslash}\{0\}$, if and only if ann(M) is prime and $Z(M)^*{\neq}M{\backslash}\{0\}$.

SOME ABELIAN MCCOY RINGS

  • Rasul Mohammadi;Ahmad Moussavi;Masoome Zahiri
    • 대한수학회지
    • /
    • 제60권6호
    • /
    • pp.1233-1254
    • /
    • 2023
  • We introduce two subclasses of abelian McCoy rings, so-called π-CN-rings and π-duo rings, and systematically study their fundamental characteristic properties accomplished with relationships among certain classical sorts of rings such as 2-primal rings, bounded rings etc. It is shown that a ring R is π-CN whenever every nilpotent element of index 2 in R is central. These rings naturally generalize the long-known class of CN-rings, introduced by Drazin [9]. It is proved that π-CN-rings are abelian, McCoy and 2-primal. We also show that, π-duo rings are strongly McCoy and abelian and also they are strongly right AB. If R is π-duo, then R[x] has property (A). If R is π-duo and it is either right weakly continuous or every prime ideal of R is maximal, then R has property (A). A π-duo ring R is left perfect if and only if R contains no infinite set of orthogonal idempotents and every left R-module has a maximal submodule. Our achieved results substantially improve many existing results.

산지별 고초균 발효누에의 이화학적 특성 및 생리활성 (Biological Activity and Biochemical Properties of Water Extracts from Bacillus subtilis-fermented Silkworm (Bombyx mori L.) Powder by Origin)

  • 김태훈;안희영;김영완;심소연;서권일;조영수
    • 생명과학회지
    • /
    • 제27권12호
    • /
    • pp.1470-1478
    • /
    • 2017
  • 본 연구는 건강기능성 식품의 소재로서 활용하기 위해 부안, 남원 및 보은의 산지별 누에분말을 단백질 분해능이 뛰어난 Bacillus subtilis KACC 91157 균주로 발효시켜 제조한 발효누에 추출물의 이화학적 특성 및 생리활성을 평가하였다. 구성 아미노산 함량은 부안 누에군(BU)에서 가장 높았으나, 발효 후에는 보은 발효누에군(BBO)에서 가장 높은 함량을 보였다. 미네랄 함량은 K, Ca, Mg 순으로 함유되어 있었으나, Na가 가장 높은 미네랄 함량의 증가율을 보였다. DPPH를 통한 자유라디칼 소거능과 혈전용해 효소활성은 발효 전에 비하여 발효누에군에서 높게 나타났으며, 특히 BBO군에서 가장 높은 활성을 보였다. 전립선암 세포(LNcaP)와 유방암 세포(MCF-7) 성장 저해능은 BBO군에서 가장 높게 나타났으며 LPS 처리 RAW 264.7세포의 NO생성 억제활성 역시 BBO군에서 가장 높게 나타났다. 이와 같이 산지별 고초균 발효누에 추출물을 비교해본 결과 보은 누에가 건강기능성 식품의 소재로서 활용할 가치가 높은 것으로 사료된다.

Novel synthesis of nanocrystalline thin films by design and control of deposition energy and plasma

  • Han, Jeon G.
    • 한국진공학회:학술대회논문집
    • /
    • 한국진공학회 2016년도 제50회 동계 정기학술대회 초록집
    • /
    • pp.77-77
    • /
    • 2016
  • Thin films synthesized by plasma processes have been widely applied in a variety of industrial sectors. The structure control of thin film is one of prime factor in most of these applications. It is well known that the structure of this film is closely associated with plasma parameters and species of plasma which are electrons, ions, radical and neutrals in plasma processes. However the precise control of structure by plasma process is still limited due to inherent complexity, reproducibility and control problems in practical implementation of plasma processing. Therefore the study on the fundamental physical properties that govern the plasmas becomes more crucial for molecular scale control of film structure and corresponding properties for new generation nano scale film materials development and application. The thin films are formed through nucleation and growth stages during thin film depostion. Such stages involve adsorption, surface diffusion, chemical binding and other atomic processes at surfaces. This requires identification, determination and quantification of the surface activity of the species in the plasma. Specifically, the ions and neutrals have kinetic energies ranging from ~ thermal up to tens of eV, which are generated by electron impact of the polyatomic precursor, gas phase reaction, and interactions with the substrate and reactor walls. The present work highlights these aspects for the controlled and low-temperature plasma enhanced chemical vapour disposition (PECVD) of Si-based films like crystalline Si (c-Si), Si-quantum dot, and sputtered crystalline C by the design and control of radicals, plasmas and the deposition energy. Additionally, there is growing demand on the low-temperature deposition process with low hydrogen content by PECVD. The deposition temperature can be reduced significantly by utilizing alternative plasma concepts to lower the reaction activation energy. Evolution in this area continues and has recently produced solutions by increasing the plasma excitation frequency from radio frequency to ultra high frequency (UHF) and in the range of microwave. In this sense, the necessity of dedicated experimental studies, diagnostics and computer modelling of process plasmas to quantify the effect of the unique chemistry and structure of the growing film by radical and plasma control is realized. Different low-temperature PECVD processes using RF, UHF, and RF/UHF hybrid plasmas along with magnetron sputtering plasmas are investigated using numerous diagnostics and film analysis tools. The broad outlook of this work also outlines some of the 'Grand Scientific Challenges' to which significant contributions from plasma nanoscience-related research can be foreseen.

  • PDF

유용 미생물을 이용한 발효굼벵이 추출물의 이화학적 특성 및 생리활성효과 (Physicochemical Properties and Biological Activities of Protaetia brevitarsis seulensis Larvae Fermented by Several Kinds of Micro-organisms)

  • 심소연;안희영;서권일;조영수
    • 생명과학회지
    • /
    • 제28권7호
    • /
    • pp.827-834
    • /
    • 2018
  • 본 연구는 유용 미생물을 이용하여 흰점박이 꽃무지 유충을 발효시킨 분말을 수용성, 에탄올, 메탄올 용매별 추출하여 항산화 등의 실험에 임하였다. 발효 균주로는 3종의 유산균 Lactobacillus plantarum JBMI F3, Lactobacillus plantarum JBMI F5, Lactobacullus gasseri Ba9, 1종의 곰팡이 Aspergillus kawachii KCCM 32819, 1종의 효모 Saccharomyces cerevisiae KACC 93023, 1 종의 바실러스 Bacillus subtilis KACC 91157 총 6종의 유용 미생물 균주를 사용하였다. 발효 굼벵이 분말 추출물의 유효성분(총 페놀 함량 및 플라보노이드 함량)과 생리 활성 효능(DPPH 자유 라디칼 소거 활성, 환원력 실험, 혈전용해능, ${\alpha}-amylase$ 활성)을 비교 검토하였다. 총 페놀 함량 및 플라보노이드 함량은 바실러스 균주 발효 굼벵이 분말의 수용성 추출물에서 높은 수치를 나타내었다. 항산화 활성을 확인하기 위해 DPPH 자유 라디칼 소거능 및 환원력 실험을 수행한 결과, 비발효군 보다 발효군에서 우수한 항산화능을 보였고, 그 중 바실러스 균주를 이용한 발효 추출물이 긍정적인 효과를 나타내었다. 혈전 용해능에서 또한, 바실러스 균주 발효 굼벵이 추출물에서 우수한 혈전 용해능을 확인였고, 효소-기질 분해능 실험의 ${\alpha}-amylase$ 활성은 비발효군보다 발효군에서 높은 효과를 확인하였으나 발효균주간 유의적인 차이는 없었다. 따라서, 유용 미생물을 이용한 발효 굼벵이 추출물의 유용성분 및 생리활성이 강화됨을 확인하였고, 이는 건강 식품 소재로의 이용 가능성이 높다고 판단된다.

ON INJECTIVITY AND P-INJECTIVITY, IV

  • Chi Ming, Roger Yue
    • 대한수학회보
    • /
    • 제40권2호
    • /
    • pp.223-234
    • /
    • 2003
  • This note contains the following results for a ring A : (1) A is simple Artinian if and only if A is a prime right YJ-injective, right and left V-ring with a maximal right annihilator ; (2) if A is a left quasi-duo ring with Jacobson radical J such that $_{A}$A/J is p-injective, then the ring A/J is strongly regular ; (3) A is von Neumann regular with non-zero socle if and only if A is a left p.p.ring containing a finitely generated p-injective maximal left ideal satisfying the following condition : if e is an idempotent in A, then eA is a minimal right ideal if and only if Ae is a minimal left ideal ; (4) If A is left non-singular, left YJ-injective such that each maximal left ideal of A is either injective or a two-sided ideal of A, then A is either left self-injective regular or strongly regular : (5) A is left continuous regular if and only if A is right p-injective such that for every cyclic left A-module M, $_{A}$M/Z(M) is projective. ((5) remains valid if 《continuous》 is replaced by 《self-injective》 and 《cyclic》 is replaced by 《finitely generated》. Finally, we have the following two equivalent properties for A to be von Neumann regula. : (a) A is left non-singular such that every finitely generated left ideal is the left annihilator of an element of A and every principal right ideal of A is the right annihilator of an element of A ; (b) Change 《left non-singular》 into 《right non-singular》in (a).(a).