Some decompositions of semigroups
Petar Protić, Nebojša Stevanović (2009)
Matematički Vesnik
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Petar Protić, Nebojša Stevanović (2009)
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Irina Melnikova (1996)
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The degenerate Cauchy problem in a Banach space is studied on the basis of properties of an abstract analytical function, satisfying the Hilbert identity, and a related pair of operators A, B.
Jaroslav Ježek, Tomáš Kepka (2006)
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Y. Kobayashi (1980)
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Jill A. Dumesnil (1997)
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Mridul K. Sen, Sumanta Chattopadhyay (2008)
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Let S = {a,b,c,...} and Γ = {α,β,γ,...} be two nonempty sets. S is called a Γ -semigroup if aαb ∈ S, for all α ∈ Γ and a,b ∈ S and (aαb)βc = aα(bβc), for all a,b,c ∈ S and for all α,β ∈ Γ. In this paper we study the semidirect product of a semigroup and a Γ-semigroup. We also introduce the notion of wreath product of a semigroup and a Γ-semigroup and investigate some interesting properties of this product.