arXiv:2208.14840v1 [math.AC] 31 Aug 2022 Page 1 arXiv:2208.14840v1 [math.AC] 31 Aug
2022 SEMIANNIHILATOR SMALL SUBMODULES WITH RESPECT TO AN ARBITRARY …

Let R be a commutative ring with identity (zero-divisors admitted). Various properties of
submodules a multiplication module are considered. In fact, our aim here is to generalize …

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 …

Hosein Fazaeli Moghimi and Batool Zarei Jalal Abadi abstract: Let R be a commutative ring
with identity, and n≥ 1 an integer. A proper submodule N of an R-module M is called an n …

I-second submodules of a module Page 1 MATEMATICKI VESNIK MATEMATIQKI VESNIK 72,
1 (2020), 58–65 March 2020 research paper originalni nauqni rad I-SECOND SUBMODULES …

It is shown that if every prime ideal minimal over an ideal I is finitely generated, then there
are only finitely many prime left ideals minimal over I. This immedeately generalizes Cohen's …

Let R be a commutative ring with identity and M be a unitary R-module. Various
generalizations of prime submodules have been studied. Let φ: τ (M)−→ τ (M)∪{ø} be a …

Let $ N $ be a submodule of a module $ M $ and a minimal primary decomposition of $ N $
is known‎.‎ A formula to compute Baer's lower nilradical of $ N $ is given‎.‎ The relations …

‎ Let $ R $ be a commutative ring with identity‎,‎ $ S $ a multiplicatively closed subset of $ R $‎,‎
and $ M $ be an $ R $-module‎.‎ The goal of this work is to introduce the notion of $ S $-pure …

In this paper, all rings are commutative with nonzero identity. Let $ M $ be an $ R $-module.
A proper submodule $ N $ of $ M $ is called a classical prime submodule, if for each $ m\in …