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$\tau$-injective submodules of indecomposable injective modules
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Abstract
Let $\tau$ be a hereditary torsion theory and let $p$ be a prime ideal of a commutative ring $R$. We study the existence of (minimal) $\tau$-injective submodules of the injective hull of $R/p$.
참고문헌 (17)
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관련 논문AI추천
Endomorphism Rings of Finite Length Injective ModulesDinesh Khurana, R. N. Gupta경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호Injective Envelopes of Simple Modules over Polynomial RingsZhongming Tang대한수학회 · 대한수학회보2005 · 제42권 제1호Injective covers over commutative Noetherian rings with global dimension at most two김해식, 송영무, Edgar E. Enochs대한수학회 · 대한수학회보2003 · 제40권 제1호A characterization of prime submodules of an injective module over a Noetherian ringReza Nekooei, Zahra Pourshafiey대한수학회 · 대한수학회보2019 · 제56권 제1호On the flatness and injectivity of dual modules (III)Zhaoyong Huang대한수학회 · 대한수학회보2006 · 제43권 제4호Injective covers over commutative Noetherian rings ofglobal dimension at most two IIHae-Sik Kim, Yeong-Moo Song대한수학회 · 대한수학회논문집2005 · 제20권 제3호
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