1 citations · 1 across the 4 of their papers we have counts for
4 papers
On structural connections between sandpile monoids and weighted Leavitt path algebras
Roozbeh Hazrat, Tran Giang Nam
In this article, we establish the relations between a sandpile graph, its sandpile monoid and the weighted Leavitt path algebra associated with it. Namely, we show that the lattice…
Toward Homological Characterization of Semirings by e-Injective Semimodules
J. Y. Abuhlail, S. N. Il'in, Y. Katsov +1
In this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are…
On V-Semirings and Semirings all of whose Cyclic Semimodules are Injective
J. Y. Abuhlail, S. N. Il'in, Y. Katsov +1
In this paper, we introduce and study V- and CI-semirings---semirings all of whose simple and cyclic, respectively, semimodules are injective. We describe V-semirings for some clas…
On Radicals of Semirings and Related Problems
Y. Katsov, T. G. Nam
The aim of this paper is to develop an `external' Kurosh-Amitsur radical theory of semirings and, using this approach, to obtain some fundamental results regarding two Jacobson typ…