11 citations
- Institute of MathematicsPL4 papers
- Vietnam Academy of Science and TechnologyVN3 papers
- King Fahd University of Petroleum and MineralsSA2 papers
- N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of SciencesRU2 papers
- Ben-Gurion University of the NegevIL1 paper
- CentraleSupélecFR1 paper
- Centre National de la Recherche ScientifiqueFR1 paper
- Hebrew University of JerusalemIL1 paper
- Kazan Federal UniversityRU1 paper
- L3S Research CenterDE1 paper
- National Center for Theoretical SciencesTW1 paper
- Research Institute for Philosophy HannoverDE1 paper
7 papers · 1 filter
On congruence-semisimple semirings and the -group characterization of ultramatricial algebras over semifields
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, we provide a complete description of congruence-semisimple semirings and introduce the pre-ordered abelian Grothendieck groups and of the isomorph…
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…
Simpleness of Leavitt Path Algebras with Coefficients in a Commutative Semiring
Yefim Katsov, Tran Giang Nam, Jens Zumbrägel
In this paper, we study ideal- and congruence-simpleness for the Leavitt path algebras of directed graphs with coefficients in a commutative semiring S, as well as establish some f…
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 geometrically equivalent S-acts
Yefim Katsov
In this paper, considering the geometric equivalence for algebras of a variety of S-acts over a monoid S, we obtain representation theorems describing all types of the equi…
A Problem of B. Plotkin for S-Acts: Automorphisms of Categories of Free S-Acts
Yefim Katsov
In this paper, we prove that all automorphisms of categories of free S-acts are semi-inner, which solves a variation of a well known B. Plotkin's problem in the case of monoids. We…