\(V\)-semirings.

DOI10.1134/S003744661202005XzbMath1268.16039OpenAlexW4251128196MaRDI QIDQ1760497

S. N. Il'in

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s003744661202005x

zbMATH Keywords

semiringsessential extensionsinjective semimodules\(V\)-semiringssimple semimodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Semirings (16Y60)

Related Items (10)

On semirings whose simple semimodules are projective ⋮ On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective ⋮ On congruence-semisimple semirings and the \(K_{0}\)-group characterization of ultramatricial algebras over semifields ⋮ Some remarks on the Jacobson radical types of semirings and related problems ⋮ Axiomatizability of homological classes of semimodules over semirings ⋮ Toward homological characterization of semirings by e-injective semimodules ⋮ Toward homological structure theory of semimodules: on semirings all of whose cyclic semimodules are projective ⋮ On projective covers of semimodules and perfect semirings ⋮ On the homological classification of semirings ⋮ On semirings all of whose semimodules have injective envelopes

Cites Work

• Direct sums of injective semimodules and direct products of projective semimodules over semirings.
• Injective hulls of semimodules over additively-idempotent semirings
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