Some remarks on tensor products and flatness of semimodules.

DOI10.1007/s00233-014-9566-3zbMath1303.16045OpenAlexW2059073850MaRDI QIDQ741661

Jawad Y. Abuhlail

Publication date: 12 September 2014

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-014-9566-3

zbMATH Keywords

semiringsexact sequences of semimodulesflat semimodulestensor products of semimodules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Projectives and injectives (category-theoretic aspects) (18G05) Semirings (16Y60)

Related Items (6)

Injective semimodules-revisited ⋮ PROJECTIVE AND INJECTIVE PARTIAL MODULES AND UNIVERSAL APPLICATIONS ⋮ Unnamed Item ⋮ Toward homological characterization of semirings by e-injective semimodules ⋮ On the homological classification of semirings ⋮ Hopf Semialgebras

Cites Work

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• Exact sequences of commutative monoids and semimodules
• Extensions of semimodules and the Takahashi functor \(\text{Ext}_\Lambda (C,A)\)
• Flat semimodules.
• On the applicability to semirings of two theorems from the theory of rings and modules.
• On flat semimodules over semirings.
• Semiunital Semimonoidal Categories (Applications to Semirings and Semicorings)
• On semimodules over commutative, additively idempotent semirings

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