More on Subtractive Semirings: Simpleness, Perfectness, and Related Problems

DOI10.1080/00927872.2010.524183zbMath1253.16044OpenAlexW2155954074MaRDI QIDQ2902271

Nguyen Xuan Tuyen, Yefim Katsov, Tran Giang Nam

Publication date: 17 August 2012

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2010.524183

zbMATH Keywords

semisimple semiringstensor products of semimodulesperfect semiringsideal-simple semiringscongruence-free semiringssubtractive semirings

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Projectives and injectives (category-theoretic aspects) (18G05) Subalgebras, congruence relations (08A30) Noncommutative local and semilocal rings, perfect rings (16L30) Semirings (16Y60)

Related Items (10)

Simpleness of Leavitt path algebras with coefficients in a commutative semiring ⋮ On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective ⋮ 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 simpleness of semirings and complete semirings ⋮ On the homological classification of semirings ⋮ On Radicals of Semirings and Related Problems ⋮ On semisimple semirings

Cites Work

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• On finite congruence-simple semirings.
• Congruence-simple semirings.
• Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
• CLASSIFICATION OF FINITE CONGRUENCE-SIMPLE SEMIRINGS WITH ZERO
• On Subtractive Semisimple Semirings
• Simple commutative semirings

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