Baer sums for a natural class of monoid extensions
نویسندگان
چکیده
Abstract It is well known that the set of isomorphism classes extensions groups with abelian kernel characterized by second cohomology group. In this paper we generalise characterization to a natural class monoids, cosetal extensions. An extension "Equation missing" if for all $$g,g' \in G$$ g , ? ? G in which $$e(g) = e(g')$$ e ( ) = , there exists (not necessarily unique) $$n N$$ n N such $$g k(n)g'$$ k . These notion special Schreier extensions, are themselves examples Just as group case where semidirect product could be associated each kernel, show (with kernel), can uniquely associate weakly split extension. The combined suitable factor provide granting full supplying Baer sum.
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2021
ISSN: ['0037-1912', '1432-2137']
DOI: https://doi.org/10.1007/s00233-020-10156-9