A simple matrix semigroup which is not completely simple.
A.V. Kelarev (1988)
Semigroup forum
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A.V. Kelarev (1988)
Semigroup forum
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S. Lajos (1965)
Matematički Vesnik
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Leo Livshits, Gordon MacDonald, Laurent Marcoux, Heydar Radjavi (2016)
Studia Mathematica
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We show that any compact semigroup of positive n × n matrices is similar (via a positive diagonal similarity) to a semigroup bounded by √n. We give examples to show this bound is best possible. We also consider the effect of additional conditions on the semigroup and obtain improved bounds in some cases.
Mridul K. Sen, Sumanta Chattopadhyay (2008)
Discussiones Mathematicae - General Algebra and Applications
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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.
T. Niedbalska (1978)
Colloquium Mathematicae
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P. A. Meyer (1982)
Recherche Coopérative sur Programme n°25
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M. Demlová (1977/78)
Semigroup forum
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A. Varisco, A. Cherubini (1981)
Semigroup forum
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Peter M. Higgins (1988)
Colloquium Mathematicae
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S. Shkodra (1989)
Matematički Vesnik
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K. Byleen (1981)
Semigroup forum
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Keckic, Jovan D. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Y. Kobayashi (1980)
Semigroup forum
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H.J. Shyr (1976)
Semigroup forum
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