Direct sums of injective semimodules and direct products of projective semimodules over semirings.

DOI10.3103/S1066369X10100038zbMath1218.16040OpenAlexW1983484572WikidataQ114039206 ScholiaQ114039206MaRDI QIDQ619496

S. N. Il'in

Publication date: 25 January 2011

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x10100038

zbMATH Keywords

direct sumsdirect productssemiringsprojective semimodulesinjective semimodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semirings (16Y60)

Related Items

Injective semimodules-revisited ⋮ On semirings whose simple semimodules are projective ⋮ On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective ⋮ Axiomatizability of homological classes of semimodules over semirings ⋮ Pushouts and e-projective semimodules ⋮ Toward homological characterization of semirings by e-injective semimodules ⋮ Toward homological structure theory of semimodules: on semirings all of whose cyclic semimodules are projective ⋮ \(V\)-semirings. ⋮ On projective covers of semimodules and perfect semirings ⋮ On the homological classification of semirings ⋮ On injectivity of semimodules over additively idempotent division semirings and chain MV-semirings ⋮ On semirings all of whose semimodules have injective envelopes ⋮ On semisimple semirings ⋮ FP-injective semirings, semigroup rings and Leavitt path algebras

Cites Work

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