On a generalization of $z$-ideals in modules over commutative rings

In this article, we introduce and study the concept of $z$-submodules as a generalization of $z$-ideals. Let $M$ be a module over a commutative ring with identity $R$. A proper submodule $N$ of $M$ is called a $z$-submodule if for any $x\in M$ and $y\in N$ such that every maximal submodule of $M$ co...

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Bibliographic Details
Published in:International electronic journal of algebra Vol. 37; no. 37; pp. 297 - 312
Main Authors: Mohebian, Seyedeh Fatemeh, Fazaeli Moghimi, Hosein
Format: Journal Article
Language:English
Published: 14.01.2025
ISSN:1306-6048, 1306-6048
Online Access:Get full text
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