Title: On the Applicability to Semirings of Two Theorems from the Theory of Rings and Modules
Abstract: Problems concerning the extension of the Baer criterion for injectivity and the embedding theorem of an arbitrary module over a ring into an injective module to the case of semirings are treated. It is proved that a semiring S satisfies the Baer criterion and every S-semimodule can be embedded in an injective semimodule if and only if S is a ring. DOI: 10.1134/S000143460803022X
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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