Search Results - "Lee, Gangyong"

The Rational Hull of Modules by Lee, Gangyong

“…In this paper, we provide several new characterizations of the maximal right ring of quotients of a ring by using the relatively dense property. As a ring is…”
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Principally quasi-Baer modules and their generalizations by Lee, Gangyong

“…The purpose of this article is to further the study of principally quasi-Baer modules and -principally quasi-Baer modules as these properties play an important…”
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Quaternion rings and octonion rings by Lee, Gangyong, Oshiro, Kiyoichi

“…In this paper, for rings R, we introduce complex rings C（R）, quaternion rings H（R）, and octonion rings O（R）, which are extension rings of R; R C（R） H（R） O（R）…”
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Modules Whose Endomorphism Rings are Unit-Regular by Zhang, Xiaoxiang, Lee, Gangyong

“…Unit-regular rings have been extensively studied in the literature. In this article, we introduce the notion of unit endoregular modules which generalizes that…”
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Finite Σ-Rickart modules by Lee, Gangyong, Medina-Bárcenas, Mauricio

“…After hereditary rings were defined, as a natural generalization, semi-hereditary rings were introduced. In this article, we study the notion of a finite…”
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S$-Noetherian Rings and Their Extensions by Baeck, Jongwook, Lee, Gangyong, Lim, Jung Wook

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The structure of piecewise prime modules by Lee, Gangyong, Rizvi, S. Tariq

“…The purpose of this paper is to further the study of quasi-Baer modules by investigating the structure of a special class of quasi-Baer modules. As a module…”
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Dual Rickart Modules by Lee, Gangyong, Rizvi, S. Tariq, Roman, Cosmin S.

“…Rickart property for modules has been studied recently. In this article, we introduce and study the notion of dual Rickart modules. A number of…”
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Direct sums of Rickart modules by Lee, Gangyong, Rizvi, S. Tariq, Roman, Cosmin S.

“…The notion of Rickart modules was defined recently. It has been shown that a direct sum of Rickart modules is not a Rickart module, in general. In this paper…”
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The rational hull of modules by Lee, Gangyong

“…In this paper, we provide several new characterizations of the maximal right ring of quotients of a ring by using the relatively dense property. As a ring is…”
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Direct sums of quasi-Baer modules by Lee, Gangyong, Tariq Rizvi, S.

“…While the research work on quasi-Baer rings has been quite extensive in existing literature, the study of quasi-Baer modules introduced in 2004 remains quite…”
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Modules Whose Endomorphism Rings are Von Neumann Regular by Lee, Gangyong, Rizvi, S. Tariq, Roman, Cosmin

“…Abelian groups whose endomorphism rings are von Neumann regular have been extensively investigated in the literature. In this paper, we study modules whose…”
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Noetherian Rings and Their Extensions by Baeck, Jongwook, Lee, Gangyong, Lim, Jung Wook

“…Let 𝑅 be an associative ring with identity, 𝑆 a multiplicative subset of 𝑅, and 𝑀 a right 𝑅-module. Then 𝑀 is called an 𝑆-Noetherian module if for each…”
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Rickart Modules by Lee, Gangyong, Tariq Rizvi, S., Roman, Cosmin S.

“…The concept of right Rickart rings (or right p.p. rings) has been extensively studied in the literature. In this article, we study the notion of Rickart…”
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Rickart Modules by Lee, Gangyong, Rizvi, S. Tariq, Roman, Cosmin S.

“…It is well known that the Rickart property of rings is not a left-right symmetric property. We extend the notion of the left Rickart property of rings to a…”
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Modules Whose Endomorphism Rings are Division Rings by Lee, Gangyong, Roman, Cosmin S., Zhang, Xiaoxiang

“…The well-known Schur's Lemma states that the endomorphism ring of a simple module is a division ring. But the converse is not true in general. In this paper we…”
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Finite $\Sigma$-Rickart modules by Lee, Gangyong, Medina-Bárcenas, Mauricio

“…In this article, we study the notion of a finite $\Sigma$-Rickart module, as a module theoretic analogue of a right semi-hereditary ring. A module $M$ is…”
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