Affiliation:
1. N. I. Lobachevskiǐ Institute of Mathematics and Mechanics, Kazan Federal University, Kazan, Russia
Abstract
It was shown in [Y. Katsov, Tensor products and injective envelopes of semimodules over additively regular semirings, Algebra Colloq. 4 (1997) 121–131.] that each semimodule over an additively regular semiring has an injective envelope. We show the converse statement is true as well; moreover, the result holds even if each finitely generated semimodule has an injective envelope.
Funder
Russian Foundation for Basic Research
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Algebra and Number Theory
Cited by
1 articles.
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