논문KCI 등재
Characterizations of Several Modules Relative to the Class of B(M, X)
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
Let M and X be right R-modules. We introduce several modules relative to the class of B(M;X) and we investigate relation among these modules. In this note, we show if M is X- -supplemented such that M = M1+M2 implies M1 and M2 are relatively B-projective, then M is an X-H-supplemented module.
Abstract
Let M and X be right R-modules. We introduce several modules relative to the class of B(M;X) and we investigate relation among these modules. In this note, we show if M is X- -supplemented such that M = M1+M2 implies M1 and M2 are relatively B-projective, then M is an X-H-supplemented module.
참고문헌 (14)
- N. Agayev, "Duo modules and duo rings", Far East J. Math. Sci., 20(3), pp.341~346 (2006)
- M. Alkan, "On Summand Sum and Summand Intersection Property of Modules", Turkish J. Math, 26, pp.131~147 (2002)
- 장재훈, "X-LIFTING MODULES OVER RIGHT PERFECT RINGS", 대한수학회보, 45(1), pp.59~66 (2008), 대한수학회
- J. Clark, "Lifting Modules. Supplements and Projectivity in Module Theory, Frontiers in Mathematics" (2006), Birkhauser
- J. L. Garcia, "Properties of direct summands of modules", Comm. Algebra, 17(1), pp.73~92 (1989)
- J. Hausen, "Modules with the summand intersection property", Comm. Algebra, 17(1), pp.135~148 (1989)
- A. Harmanci, "On -supplemented modules", Acta Math. Hungar., 83(1-2), pp.161~169 (1999)
- D. Keskin, "A relative version of the lifting property of modules", Algebra Colloq., 11(3), pp.361~370 (2004)
- M. T. Kosan, "H-conitely supplemented modules", Vietnam J. Math., 35(2), pp.1~8 (2007)
- S. R. Lopez-Permouth, "On the relative (quasi-) conti- nuity of modules", Comm. Algebra, 17, pp.3497~3510 (1998)
- S. H. Mohammed, "Continous and Discrete Modules" (1990), Cambridge Univ. Press
- N. Orhan, "Characterizations of lifting modules in terms of cojective modules and the class of B(M,X)", Int. J. Math., 16(6), pp.647~660 (2005)
- Y. Talebi, "Strongly FI-lifting modules", Int. Electr. J. Algebra, 3, pp.75~82 (2008)
- R. Wisbauer, "Foundations of Module and Ring Theory" (1991), Gordon and Breach
관련 논문AI추천
Modules Which Are Lifting Relative To Module ClassesAbdullah Harmanci, Muhammet Tamer Kosan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호Weakly ⊕-supplemented modules and weakly D2 modulesMuhammet Tamer Koşan, Phan The Hai, Truong Cong Quynh대한수학회 · 대한수학회보2020 · 제57권 제3호Sa-supplement submodulesYilmaz Durgun대한수학회 · 대한수학회보2021 · 제58권 제1호Some Characterizations of Modules via Essentially Small SubmodulesLe Van Thuyet, Phan Hong Tin경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2016 · 제56권 제4호X-LIFTING MODULES OVER RIGHT PERFECT RINGS장재훈대한수학회 · 대한수학회보2008 · 제45권 제1호On Generalizations of Extending ModulesFatih Karabacak경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호
이 간행물의 다른 논문 (11건)
Subordination and Superordination for Multivalent Functions associated with the Differintegral Operator조낙은, 권오상pp. 1-12Fekete-Szego Problem for a Generalized Subclass of Analytic FunctionsMurat Caglar, Halit Orhan, Nihat Yagmurpp. 13-23Module-theoretic Characterizations of Strongly t-linked Ex- tensions권태인, 김환구pp. 25-35A Note on Maass-Jacobi Forms II양재현pp. 49-86Existence Results for the Nonlinear First Order Fuzzy Neutral Integrodifferential EquationsBheeman Radhakrishnan, Murugesan Nagarajan, Samayan Narayanamoorthypp. 87-98
