Z. Nazemian

activity

20162020

collaborators

5 papers

math.RA2020

Covering classes and uniserial modules

Alberto Facchini, Zahra Nazemian, Pavel Prihoda

We apply minimal weakly generating sets to study the existence of Add $(U_{R})$ -covers for a uniserial module $U_{R}$ . If $U_{R}$ is a uniserial right module over a ring $R$ , then $S :=$ En…

math.RA2018

Covering classes, strongly flat modules, and completions

Alberto Facchini, Zahra Nazemian

We study some closely interrelated notions of Homological Algebra: (1) We define a topology on modules over a not-necessarily commutative ring $R$ that coincides with the $R$ -topol…

math.RA2018

Serial factorizations of right ideals

Alberto Facchini, Zahra Nazemian

In a Dedekind domain $D$ , every non-zero proper ideal $A$ factors as a product $A = P_{1}^{t_{1}} \dots P_{k}^{t_{k}}$ of powers of distinct prime ideals $P_{i}$ . For a Dedekind domain $D$ , th…

math.RA2017

Equivalence of Some Homological Conditions for Ring Epimorphisms

Alberto Facchini, Zahra Nazemian

Let $R$ be a right and left Ore ring, $S$ its set of regular elements and $Q = R [S^{- 1}] = [S^{- 1}] R$ the classical ring of quotients of $R$ . We prove that if F.dim $(Q_{Q}) = 0$ , th…

math.RA2016

$V$ -rings versus $Σ$ - $V$ Rings

Bijan Davvaz, Zahra Nazemian, Ashish K. Srivastava

This paper studies similarities and differences between the classes of rings over which each simple module is injective and rings over which each simple module is $Σ$ -injective. Th…

Covering classes and uniserial modules

Covering classes, strongly flat modules, and completions

Serial factorizations of right ideals

Equivalence of Some Homological Conditions for Ring Epimorphisms

V-rings versus Σ-V Rings

$V$ -rings versus $Σ$ - $V$ Rings