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Some properties of gr-multiplication modules
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In this paper, we provide the necessary and sufficient conditions for a faithful graded module to be a graded multiplication module and for a graded submodule of a faithful gr-multiplication to be gr-essential.
Abstract
In this paper, we provide the necessary and sufficient conditions for a faithful graded module to be a graded multiplication module and for a graded submodule of a faithful gr-multiplication to be gr-essential.
참고문헌 (10)
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- 이상철, "Ideals and Submodules of Multiplication Modules", 대한수학회지, 42(5), pp.933~948 (2005), 대한수학회
- G.M. Low, "Multiplication modules and ideals", Comm. Algebra, 18(12), pp.4353~4375 (1990)
- A.G. Naoum, "Flat modules and multiplication modules", Period. Math. Hungar, 21(4), pp.309~317 (1990)
- Y.S. Park, "Multiplication modules and characteristic submodules", Bull. Korean Math. Soc, 32(2), pp.321~328 (1995)
- Unsal Tekir, "A note on multiplication modules", Int. J. Pure Appl. Math, 27(1), pp.107~111 (2006)
- A.A. Tuganbaev, "Flat and multiplication modules", J. Math. Sci, 128(3), pp.2998~3004 (2005)
관련 논문AI추천
Semiprime submodules of graded multiplication modules이상철, Rezvan Varmazyar대한수학회 · 대한수학회지2012 · 제49권 제2호Decompositions of graded maximal submodulesFida Moh’D대한수학회 · 대한수학회논문집2022 · 제37권 제1호On Graded Quasi-Prime SubmodulesKhaldoun Al-Zoubi, Rashid Abu-Dawwas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제2호Group graded types of Bezout modulesFida Moh’D, Mamoon Ahmed대한수학회 · 대한수학회논문집2017 · 제32권 제3호On graded coprimely packed modulesJAN PASEKA, Khaldoun Al-Zoubi장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제2호On graded $(m, n)$-closed submodulesRezvan Varmazyar대한수학회 · 대한수학회논문집2023 · 제38권 제4호
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