Injective semimodules-revisited

DOI10.1142/S0219498822502425zbMath1503.16059arXiv1904.07708OpenAlexW3206688001WikidataQ114072473 ScholiaQ114072473MaRDI QIDQ5031461

Rangga Ganzar Noegraha, Jawad Y. Abuhlail

Publication date: 16 February 2022

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

Full work available at URL: https://arxiv.org/abs/1904.07708

zbMATH Keywords

exact sequencessemiringssemimodulesinjective semimodules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Semirings (16Y60)

Cites Work

• 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.
• Exact sequences of commutative monoids and semimodules
• Some remarks on tensor products and flatness of semimodules.
• Injective hulls of semimodules over additively-idempotent semirings
• Injectivity for cancellative semimodules
• Extensions of semimodules and the Takahashi functor \(\text{Ext}_\Lambda (C,A)\)
• Pushouts and e-projective semimodules
• On the applicability to semirings of two theorems from the theory of rings and modules.
• On injective envelopes of semimodules over semirings
• MORITA EQUIVALENCE AND HOMOLOGICAL CHARACTERIZATION OF SEMIRINGS
• On V-semirings and Semirings All of Whose Cyclic Semimodules Are Injective
• Toward homological characterization of semirings by e-injective semimodules
• On Subtractive Semisimple Semirings
• On simpleness of semirings and complete semirings
• Idempotent Mathematics and Mathematical Physics
• Semicorings and Semicomodules
• Abstract Algebra
• Simple commutative semirings
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