• 제목/요약/키워드: Strongly

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Fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s)-semiopen and fuzzy strongly (r, s)-semiclosed mappings

  • Lee, Eun-Pyo;Kim, Seung-Hoon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제7권2호
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    • pp.120-126
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    • 2007
  • In this paper, we investigate some of characteristic properties of fuzzy strongly (r, s)-semicontinuous, fuzzy strongly (r, s )-semiopen and fuzzy strongly (r, s )-semiclosed mappings on the intuitionistic fuzzy topological space in \check{S}ostak's$ sense.

Strong Reducedness and Strong Regularity for Near-rings

  • CHO, YONG UK;HIRANO, YASUYUKI
    • Kyungpook Mathematical Journal
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    • 제43권4호
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    • pp.587-592
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    • 2003
  • A near-ring N is called strongly reduced if, for $a{\in}N$, $a^2{\in}N_c$ implies $a{\in}N_c$, where $N_c$ denotes the constant part of N. We investigate some properties of strongly reduced near-rings and apply those to the study of left strongly regular near-rings. Finally we classify all reduced, and strongly reduced near-rings of order ${\leq}7$.

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FUZZY STRONGLY (r, s)-PREOPEN AND PRECLOSED MAPPINGS

  • Lee, Seok-Jong;Kim, Jin-Tae
    • 대한수학회논문집
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    • 제26권4호
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    • pp.661-667
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    • 2011
  • In this paper, we introduce the notions of fuzzy strongly (r, s)-preopen and preclosed mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense. The relationships among fuzzy (r, s)-open, fuzzy strongly (r, s)-semiopen, fuzzy (r, s)-preopen, and fuzzy strongly (r, s)-preopen mappings are discussed. The characterizations for the fuzzy strongly (r, s)-preopen and preclosed mappings are obtained.

STRONGLY IRREDUCIBLE SUBMODULES

  • ATANI, SHAHABADDIN EBRAHIMI
    • 대한수학회보
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    • 제42권1호
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    • pp.121-131
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    • 2005
  • This paper is motivated by the results in [6]. We study some properties of strongly irreducible submodules of a module. In fact, our objective is to investigate strongly irreducible modules and to examine in particular when sub modules of a module are strongly irreducible. For example, we show that prime submodules of a multiplication module are strongly irreducible, and a characterization is given of a multiplication module over a Noetherian ring which contain a non-prime strongly irreducible submodule.

Fuzzy Strongly r-Semineighborhoods

  • Lee, Seok-Jong;Lee, Seung-On;Park, Ju-Hui
    • 한국지능시스템학회논문지
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    • 제11권3호
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    • pp.275-279
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    • 2001
  • In this thesis, we introduce and investigate the notions of a fuzzy strongly r-semineighborhood and a fuzzy strongly r-quasi-semineighborhood in fuzzy topological spaces which are generalizations of a fuzzy strongly semineighborhood and a fuzzy strongly quasi-semineighborhood, respectively.

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Extensions of Strongly α-semicommutative Rings

  • Ayoub, Elshokry;Ali, Eltiyeb;Liu, ZhongKui
    • Kyungpook Mathematical Journal
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    • 제58권2호
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    • pp.203-219
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    • 2018
  • This paper is devoted to the study of strongly ${\alpha}-semicommutative$ rings, a generalization of strongly semicommutative and ${\alpha}-rigid$ rings. Although the n-by-n upper triangular matrix ring over any ring with identity is not strongly ${\bar{\alpha}}-semicommutative$ for $n{\geq}2$, we show that a special subring of the upper triangular matrix ring over a reduced ring is strongly ${\bar{\alpha}}-semicommutative$ under some additional conditions. Moreover, it is shown that if R is strongly ${\alpha}-semicommutative$ with ${\alpha}(1)=1$ and S is a domain, then the Dorroh extension D of R by S is strongly ${\bar{\alpha}}-semicommutative$.

FUZZY STRONGLY ${\gamma}$-SEMICONTINUOUS MAPS

  • Lee, Eun-Pyo;Lee, Seok-Jong
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
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    • pp.370-375
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    • 1998
  • We introduce the concepts of fuzzy strongly ${\gamma}$-semiopen sets and fuzzy strongly ${\gamma}$-semicontinuous maps, and investigate some of their basic properties.

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ON STRONG REGULARITY AND RELATED CONCEPTS

  • Cho, Yong-Uk
    • Journal of applied mathematics & informatics
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    • 제28권1_2호
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    • pp.509-513
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    • 2010
  • In this paper, we will investigate some properties of strongly reduced near-rings. The purpose of this paper is to find more characterizations of the strong regularity in near-rings, which are closely related with strongly reduced near-rings.