논문KCI 등재
Injective Envelopes of Simple Modules over Polynomial Rings
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Abstract
Let A be a polynomial ring over a field and M a simpleA-module. We generalize one result of Song about the descriptionof the injective envelope E_A(M) in terms of modules ofgeneralized fractions.
참고문헌 (7)
- "On the ubiquity of Gorenstein ring", 82, pp.8~ (1963)
- "Injective modules over Noetherian rings", 8, pp.511~ (1958)
- "Lessons on rings" (1968), Cambridge Univ. Press
- "Ramification indices and injective modules", 11, pp.267~ (1975)
- "Modules of generalized fractions", 29, pp.32~ (1982)
- "Distinct denominator sums and injective envelopes", 8, pp.169~ (1993)
- "Generalized fractions, Galois theory and injective envelopes of simple modulesover polynomial rings", 32, pp.265~277 (1995)
관련 논문AI추천
Endomorphism Rings of Finite Length Injective ModulesDinesh Khurana, R. N. Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호Injective covers over commutative Noetherian rings with global dimension at most two김해식, 송영무, Edgar E. Enochs대한수학회 · 대한수학회보2003 · 제40권 제1호Some remarks on cotorsion envelopes of modules김해식, 송영무대한수학회 · 대한수학회보2007 · 제44권 제4호Injective covers over commutative Noetherian rings ofglobal dimension at most two IIHae-Sik Kim, Yeong-Moo Song대한수학회 · 대한수학회논문집2005 · 제20권 제3호Pure projective and pure injective modules over polynomial ringsLixin Mao대한수학회 · 대한수학회보2025 · 제62권 제2호Matlis injective modulesHangyu Yan대한수학회 · 대한수학회보2013 · 제50권 제2호
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