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Toward homological characterization of semirings by e-injective semimodules
Authors
Abuhlail J.
Il’in S.
Katsov Y.
Nam T.
Publication date
1 January 2017
Publisher
Abstract
© 2018 World Scientific Publishing CompanyIn this paper, we introduce and study e-injective semimodules, in particular over additively idempotent semirings. We completely characterize semirings all of whose semimodules are e-injective, describe semirings all of whose projective semimodules are e-injective, and characterize one-sided Noetherian rings in terms of direct sums of e-injective semimodules. Also, we give complete characterizations of bounded distributive lattices, subtractive semirings, and simple semirings, all of whose cyclic (finitely generated) semimodules are e-injective
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Last time updated on 07/05/2019