1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.RA2016
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…
math.RA2015
Toward Homological Structure Theory of Semimodules: On Semirings All of Whose Cyclic Semimodules Are Projective
S. N. Il'in, Y. Katsov, T. G. Nam
In this paper, we introduce homological structure theory of semirings and CP-semirings---semirings all of whose cyclic semimodules are projective. We completely describe semisimple…
math.RA2014★ 1 cited
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…