FP-injective semirings, semigroup rings and Leavitt path algebras

DOI10.1080/00927872.2016.1226862zbMath1393.16040OpenAlexW2529018748MaRDI QIDQ5273467

Marianne Johnson, Tran Giang Nam

Publication date: 6 July 2017

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

Full work available at URL: https://www.research.manchester.ac.uk/portal/en/publications/fpinjective-semirings-semigroup-rings-and-leavitt-path-algebras(ee53c7b2-9a14-495e-9903-7a9f25c6987e).html

zbMATH Keywords

Leavitt path algebraexact semiringFP-injective semiring

Mathematics Subject Classification ID

Group rings (16S34) Semirings (16Y60) Associative rings and algebras arising under various constructions (16S99)

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Orthogonal complements and extending orthogonal subsets of semimodules, Which semifields are exact?, On injectivity of semimodules over additively idempotent division semirings and chain MV-semirings

Cites Work

• The structure of a graph inverse semigroup
• Leavitt path algebras with coefficients in a commutative ring.
• Direct sums of injective semimodules and direct products of projective semimodules over semirings.
• Finite-dimensional Leavitt path algebras.
• Regularity conditions for arbitrary Leavitt path algebras.
• Group rings that are exact.
• Exact rings and semirings.
• The Leavitt path algebra of a graph.
• Toward homological characterization of semirings: Serre's conjecture and Bass's perfectness in a semiring context.
• A Note on the Faith–Menal Conjecture
• MORITA EQUIVALENCE AND HOMOLOGICAL CHARACTERIZATION OF SEMIRINGS
• Tropical matrix duality and Green's 𝔇 relation
• Characterizations of semirings byp-injective and projective semimodules