On semirings all of whose semimodules have injective envelopes
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.
2019 ◽
Vol 18
(06)
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pp. 1950115
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2015 ◽
Vol 219
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pp. 113-125
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2014 ◽
Vol 51
(4)
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pp. 547-555
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