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On semirings all of whose semimodules have injective envelopes

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Publication:4997999
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DOI10.1142/S0219498821501309zbMath1473.16040OpenAlexW3025544101WikidataQ114072484 ScholiaQ114072484MaRDI QIDQ4997999

S. N. Il'in

Publication date: 1 July 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498821501309

zbMATH Keywords

injective envelopeinjective semimoduleadditively regular semiring


Mathematics Subject Classification ID

Semirings (16Y60)


Related Items

Torsion factors of commutative monoid semirings



Cites Work

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  • Toward homological structure theory of semimodules: on semirings all of whose cyclic semimodules are projective
  • Direct sums of injective semimodules and direct products of projective semimodules over semirings.
  • \(V\)-semirings.
  • On semirings whose simple semimodules are projective
  • Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
  • On injective envelopes of semimodules over semirings
  • Toward homological characterization of semirings by e-injective semimodules
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