Reduced submodules of finite dimensional polynomial modules
T Abebaw, N Arega, TW Bihonegn… - arXiv preprint arXiv …, 2022 - arxiv.org
Let $ k $ be a field with characteristic zero, $ R $ be the ring $ k [x_1,\cdots, x_n] $ and $ I $
be a monomial ideal of $ R $. We study the Artinian local algebra $ R/I $ when considered …
be a monomial ideal of $ R $. We study the Artinian local algebra $ R/I $ when considered …
S‐Semiprime Submodules and S‐Reduced Modules
This article introduces the concept of S‐semiprime submodules which are a generalization
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …
of semiprime submodules and S‐prime submodules. Let M be a nonzero unital R‐module …
[PDF][PDF] On (m; n)-semiprime submodules.
This paper aims to introduce a new class of submodules, called (m, n)-semiprime
submodule, which is a generalization of semiprime submodule. Let M be a unital A-module …
submodule, which is a generalization of semiprime submodule. Let M be a unital A-module …
A remark on prime ideals
SC Lee - Extracta Mathematicae, 2020 - revista-em.unex.es
If M is a torsion-free module over an integral domain, then we show that for each submodule
N of M the envelope EM (N) of N in M is an essential extension of N. In particular, if N is …
N of M the envelope EM (N) of N in M is an essential extension of N. In particular, if N is …