3 citations · 3 across the 11 of their papers we have counts for
11 papers
Strongly Hopfian and Co-Hopfian Acts over Monoids: Structure and Characterizations
Ali Madanshekaf, Farideh Farsad
In this paper, we introduce and explore new classes of S-acts over a monoid S, namely, strongly Hopfian and strongly co-Hopfian acts, as well as their weaker counterparts, Hopfian…
Application of Hohle's Square Roots on Hoop Algebras
Ali Madanshekaf, Mohammad Mahdi Motamedi Nezhad
Square root is a useful tool to study the properties of (ordered) algebraic structures. In this article, we are going to employ this tool to study hoop algebras. To do so, we defin…
Equivalence of multiset-based consequence relations
Ali Madanshekaf, Adam Přenosil, Zeinab Khanjanzadeh Seresti +1
The pioneering work of Blok and Jónsson and its further development by Galatos and Tsinakis initiated an abstract study of consequence relations using the tools of module theory, w…
Weak Topologies on Toposes
Zeinab Khanjanzadeh, Ali Madanshekaf
This paper deals with the notion of weak Lawvere-Tierney topology on a topos. Our motivation to study such a notion is based on the observation that the composition of two Lawvere-…
Action preserving (weak) topologies on the category of presheaves
Zeinab Khanjanzadeh, Ali Madanshekaf
Let be a finitely complete small category. In this paper, first we construct two weak (Lawvere-Tierney) topologies on the category of presheaves. One of them is estab…
Characterization of Pomonoids by Properties of Generators
Setareh Irannezhad, Ali Madanshekaf
The study of flatness properties of ordered monoids acting on posets was initiated by S.M. Fakhruddin in the 1980's. Although there exist many papers which investigate various prop…
On the Generators in the Category of Actions of Pomonoids on Posets and its Slices
Farideh Farsad, Ali Madanshekaf
Let be a pomonoid, in this paper, {\bf Pos}-, the category of -posets and -poset maps, is considered. First, we characterize some pomonoids on which all projectives in…
Lawvere-Tierney sheaves, factorization systems, sections and -essential monomorphisms in a topos
Zeinab Khanjanzadeh, Ali Madanshekaf
Let be a Lawvere-Tierney topology (a topology, for short) on an arbitrary topos , an object of , and the induced topology on t…
Coproduct Cancellation on \textbf{Act}-
Kamal Ahmadi, Ali Madanshekaf
The themes of cancellation, internal cancellation, substitution have led to a lot of interesting research in the theory of modules over commutative and noncommutative rings. In thi…
Weak Factorization System for Actions of Po-monoids on Posets
Farideh Farsad, Ali Madanshekaf
Let be a pomonoid. In this paper, {\bf Pos}-, the category of -posets and -poset maps, is considered. One of the main aims of this paper is to draw attention to the no…
Nakayama's Lemma on
Kamal Ahmadi, Ali Madanshekaf
A crucial lemma on module theory is Nakayama's lemma \cite{AF}. In this article, we shall investigate some forms of Nakayama's lemma in the category of right acts over a given mono…