Abstract
A natural generalization of the notion of group extensions was introduced by Redei [86] for semigroups and called Scheier extension of semigroups. These extensions have been investigated in [86,100,36] and other works without using homological methods. The extensions of semigroups with respect to the factorizations of Redei [86], Rees [87] and Preston [83] have been described by homological methods in [39–41,43].In particular in [39] the functors Ext n are defined for Schreier extensions of commutative semigroups with cancellation.
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© 1997 Springer Science+Business Media Dordrecht
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Inassaridze, H. (1997). Extensions and cohomology of monoids with coefficients in semimodules. In: Non-Abelian Homological Algebra and Its Applications. Mathematics and Its Applications, vol 421. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8853-9_4
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DOI: https://doi.org/10.1007/978-94-015-8853-9_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4899-8
Online ISBN: 978-94-015-8853-9
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