• Journal of the Korean Mathematical Society
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• v.51 no.6
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• pp.1177-1187
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• 2014

In the current paper we study absolutely pure representations of quivers. Then over some nice quivers including linear quivers some sufficient conditions guaranteeing a representation to be absolutely pure is characterized. Furthermore some relations between atness and absolute purity is investigated. Finally it is shown that the absolutely pure covering of representations of linear quivers (including $A^-_{\infty}$, $A^+_{\infty}$ and $A^{\infty}_{\infty}$) by R-modules whenever R is a coherent ring exists.

• Analytical Science and Technology
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• v.36 no.2
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• pp.59-69
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• 2023

• Honam Mathematical Journal
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• v.38 no.2
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• pp.295-304
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• 2016

In this paper we investigate the Artinianness of certain local cohomology modules $H^i_I(N)$ where N is a minimax module over a commutative Noetherian ring R and I is an ideal of R. Also, we characterize the set of attached prime ideals of $H^n_I(N)$, where n is the dimension of N.

• Bulletin of the Korean Mathematical Society
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• v.57 no.2
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• pp.371-381
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• 2020

A ring R is called right pure-injective if it is injective with respect to pure exact sequences. According to a well known result of L. Melkersson, every commutative Artinian ring is pure-injective, but the converse is not true, even if R is a commutative Noetherian local ring. In this paper, a series of conditions under which right pure-injective rings are either right Artinian rings or quasi-Frobenius rings are given. Also, some of our results extend previously known results for quasi-Frobenius rings.

• The Korean Journal of Food & Health Convergence
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• v.4 no.4
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• pp.10-17
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• 2018

Capsicum frutescen is known in Sudan, is one of the most commonly used pepper species in cooking and in Sudanese folk medicine. The present study was conducted to investigate antimicrobial (bacteria and fungi) and cytotoxicity (Brine Shrimp Lethality Test) of methanolic extract of Capsicum frutescen (fruits). The extract have been tested in the present study to investigate the in vitro potential effects against Gram positive, Gram negative bacteria and fungi. The selected organisms were Staphylococcus aureus, Escherichia coli, Pseudomonas aeruginosa, Klebsiella pneumonia and Candida albicans using the cup plate agar diffusion method. The methanol extract of Capsicum frutescen (fruits) exhibited inhibitory effects against Escherichia coli with zone of inhibition (23 mm) and Klebsiella pneumonia with zone of inhibition (17 mm). The phytochemical screening revealed the presence of Tannins, Saponin, Alkaloids, Anthroquinoles and Terpenoids. The Cytotoxicity of methanolic extract of Capsicum frutescens was $LD_{50}$ $64.68{\mu}g/ml$. The activity and presence of compounds known to be biologically active are a validation for the use of Capsicum as a food ingredient and as a therapeutic element of traditional medicine.

• Communications of the Korean Mathematical Society
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• v.33 no.4
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• pp.1123-1123
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• 2018

• The Pure and Applied Mathematics
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• v.28 no.1
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• pp.1-13
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• 2021

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

• Bulletin of the Korean Mathematical Society
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• v.49 no.6
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• pp.1251-1254
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• 2012

Pure-strategy Nash Equilibrium (NE) is one of the most important concepts in game theory. Tae-Hwan Yoon and O-Hun Kwon gave a "sufficient condition" for the existence of pure-strategy NEs in matrix games [5]. They also claimed that the condition was necessary for the existence of pure-strategy NEs in undominated matrix games. In this short note, we show that these claims are not true by giving two examples.

• Bulletin of the Korean Mathematical Society
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• v.59 no.5
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• pp.1237-1246
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• 2022

In this paper, we introduce the concept of N-pure ideal as a generalization of pure ideal. Using this concept, a new and interesting type of rings is presented, we call it a mid ring. Also, we provide new characterizations for von Neumann regular and zero-dimensional rings. Moreover, some results about mp-ring are given. Finally, a characterization for mid rings is provided. Then it is shown that the class of mid rings is strictly between the class of reduced mp-rings (p.f. rings) and the class of mp-rings.

• Kyungpook Mathematical Journal
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• v.63 no.2
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• pp.225-234
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• 2023

In this paper, we use the use the linear operator ʒ^x_τ,σ(u, v, y)𝔣(z) and the concept of the subordination to analyse the general class of all analytic univalent functions. Our main results are implication properties between the classes of such functions and the application of these properties to special cases.