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Injective covers over commutative Noetherian rings with global dimension at most two
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Abstract
In cite{emd}, Del Valle, Enochs and Mart'{i}nez studied flatenvelopes over rings and they showed that over rings as in thetitle these are very well behaved. If we replace flat withinjective and envelope with the dual notion of a cover we thenhave the injective covers. In this article we show that theseinjective covers over the commutative noetherian rings with globaldimension at most 2 have properties analogous to those of the flatenvelopes over these rings.
관련 논문AI추천
Injective covers over commutative Noetherian rings ofglobal dimension at most two IIHae-Sik Kim, Yeong-Moo Song대한수학회 · 대한수학회논문집2005 · 제20권 제3호Structure of the flat covers of Artinian modulesSh. Payrovi대한수학회 · 대한수학회지2002 · 제39권 제4호Injective Envelopes of Simple Modules over Polynomial RingsZhongming Tang대한수학회 · 대한수학회보2005 · 제42권 제1호Injective modules over w-Noetherian rings, II김환구, Fanggui Wang, Jun Zhang대한수학회 · 대한수학회지2013 · 제50권 제5호A characterization of prime submodules of an injective module over a Noetherian ringReza Nekooei, Zahra Pourshafiey대한수학회 · 대한수학회보2019 · 제56권 제1호Flat dimensions of injective modules over domains임정욱, De Chuan Zhou, Kui Hu대한수학회 · 대한수학회보2020 · 제57권 제4호
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