10 citations · 10 across the 5 of their papers we have counts for
10 papers
Realization of monoids with countable sum
Zahra Nazemian
For every infinite cardinal number , -monoids and their realization have recently been introduced and studied by Nazemian and Smertnig. A -monoid has a realization to…
A monoid-theoretical approach to infinite direct-sum decompositions of modules
Zahra Nazemian, Daniel Smertnig
Let be a class of modules over a ring , closed under direct sums over index sets of cardinality and isomorphisms, and such that the isomorphism classes form a s…
On noncommutative bounded factorization domains and prime rings
Jason P. Bell, Ken Brown, Zahra Nazemian +1
A ring has bounded factorizations if every cancellative nonunit can be written as a product of atoms and there is a bound on the lengths of such factorizations. Th…
Contravariant finiteness and iterated strong tilting
Birge Huisgen-Zimmermann, Zahra Nazemian, Manuel Saorin
Let -mod be the category of finitely generated left modules of finite projective dimension over a basic Artin algebra . We develop an applicable cri…
Covering classes and uniserial modules
Alberto Facchini, Zahra Nazemian, Pavel Prihoda
We apply minimal weakly generating sets to study the existence of Add-covers for a uniserial module . If is a uniserial right module over a ring , then En…
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 that coincides with the -topol…
Serial factorizations of right ideals
Alberto Facchini, Zahra Nazemian
In a Dedekind domain , every non-zero proper ideal factors as a product of powers of distinct prime ideals . For a Dedekind domain , th…
Equivalence of Some Homological Conditions for Ring Epimorphisms
Alberto Facchini, Zahra Nazemian
Let be a right and left Ore ring, its set of regular elements and the classical ring of quotients of . We prove that if F.dim, th…
-rings versus - 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 -injective. Th…
Indecomposable Decomposition and couniserial dimension
A. Ghorbani, S. K. Jain, Z. Nazemian
Dimensions like Gelfand, Krull, Goldie have an intrinsic role in the study of theory of rings and modules. They provide useful technical tools for studying their structure. In this…