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A characterization of prime submodules of an injective module over a Noetherian ring
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In this paper, we give a characterization of prime submodules of an injective module over a Noetherian ring.
Abstract
In this paper, we give a characterization of prime submodules of an injective module over a Noetherian ring.
참고문헌 (11)
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- C.-P. Lu, "Saturations of submodules", Comm. Algebra, 31(6), pp.2655~2673 (2003)
- E. Matlis, "Injective modules over Noetherian rings", Pacic J. Math, 8, pp.511~528 (1958)
- R. L. McCasland, "Prime submodules", Comm. Algebra, 20(6), pp.1803~1817 (1992)
- F. Mirzaei, "On prime submodules of a nitely generated free module over a commutative ring", Comm. Algebra, 44(9), pp.3966~3975 (2016)
- Fatemeh Mirzaei, "CHARACTERIZATION OF PRIME SUBMODULES OF A FREE MODULE OF FINITE RANK OVER A VALUATION DOMAIN", 대한수학회지, 54(1), pp.59~68 (2017), 대한수학회
- Z. Pourshaey, "On prime submodules of an injective module over a Noetherian domain", ~
- Y. Tiras, "A characterization of prime submodules", J. Algebra, 212(2), pp.743~752 (1999)
관련 논문AI추천
Localization of Injective modules over ω-Noetherian rings김환구, Fanggui Wang대한수학회 · 대한수학회보2013 · 제50권 제2호Injective modules over w-Noetherian rings, II김환구, Fanggui Wang, Jun Zhang대한수학회 · 대한수학회지2013 · 제50권 제5호A note on monoform modulesAlireza Hajikarimi, Ali Reza Naghipour대한수학회 · 대한수학회보2019 · 제56권 제2호On prime submodules of a finitely generated projective module over a commutative ringReza Nekooei, Zahra Pourshafiey대한수학회 · 대한수학회논문집2019 · 제34권 제3호A new characterization of the weakly Laskerian (FSF) modulesAli Fathi대한수학회 · 대한수학회논문집2025 · 제40권 제3호Semi-divisoriality of Hom-modules and injective cogenerator of a quotient category김환구대한수학회 · 대한수학회보2011 · 제48권 제2호
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