Journal of algebra and its applications, 2021-07, Vol.20 (7), p.2150130
2021
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- Autor(en) / Beteiligte
- Titel
- On semirings all of whose semimodules have injective envelopes
- Ist Teil von
- Journal of algebra and its applications, 2021-07, Vol.20 (7), p.2150130
- Erscheinungsjahr
- 2021
- Beschreibungen/Notizen
- 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.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0219-4988eISSN: 1793-6829DOI: 10.1142/S0219498821501309Titel-ID: cdi_crossref_primary_10_1142_S0219498821501309
- Format
- –