논문KCI 등재
Injective covers over commutative Noetherian rings ofglobal dimension at most two II
대한수학회 (The Korean Mathematical Society)|2005.07|대한수학회논문집 (Communications of the KMS)|제20권 제3호|pp. 437-442
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Abstract
In studying injective covers, the modules C such that Hom(E;C) = 0 and Ext1(E;C) = 0 for all injective module E play an important role because of Wakamatsu's lemma. If C is a module over the ring k[[x; y]] with k a ¯eld, the class of these modules C contains the class ¹D of all direct summands of products of modules of ¯nite length ([3,Theorem 2.9]). In this paper we show that every module over any commutative ring has a ¹D-preenvelope.
참고문헌 (4)
- "Commutative Algebra with a view toward algebraic geometry Grad.Texts in Math. 1994."
- "Injective Covers over Commutative NoetherianRings with Global Dimension at most two,", .40, pp.167~176 (2003)
- "Stable equivalence of self-injective algebras and a generalizationof tilting modules", pp.298~ (1990)
- "Covers of Modules", 1634 (1996), Springer-Verlag
관련 논문AI추천
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