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(Completely) weak simple semigroups and (Completely) weak 0-simple semigroups
Proyecciones (Antofagasta), 2022 The structure theorems for (Completely) simple semigroups and (Completely) 0-simple semigroups have proved a powerful tool in the investigation of such semigroups. In this paper, first of all, we define weak simple semigroups and weak 0-simple semigroups and compare them with simple semigroups and 0-simple semigroups respectively. Then we give examples
Nouri, Leila +1 more
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On completely 0‐simple semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1995 Let S be a completely 0‐simple semigroup and F be an algebraically closed field. Then for each 0‐minimal right ideal M of S, M = B ∪ C ∪ {0}, where B is a right group and C is a zero semigroup. Also, a matrix representation for S other than Rees matrix is found for the condition that the semigroup ring R(F, S) is semisimple Artinian.
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Undecidable problems for completely 0-simple semigroups
Journal of Pure and Applied Algebra, 2009 The authors of the ground-breaking paper [\textit{T. E. Hall, S. I. Kublanovsky, S. Margolis, M. V. Sapir} and \textit{P. G. Trotter}, J. Pure Appl. Algebra 119, No. 1, 75-96 (1997; Zbl 0880.20040)] on completely 0-simple semigroups established a series of remarkable results indicating that these semigroups are much more complex than their name ...
Jackson, Marcel., Volkov, Mikhail.
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VARIETIES GENERATED BY COMPLETELY 0-SIMPLE SEMIGROUPS [PDF]
Journal of the Australian Mathematical Society, 2008 Abstract Kublanovsky has shown that if a subvariety V of the variety RS n generated by completely 0-simple semigroups over groups of exponent n is itself generated by completely 0-simple semigroups, then it must satisfy one of three conditions: (i) A2 ∈ V ; (ii) $N_1 \not \in {\mathbf {V}}
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Left orders in completely 0-simple semigroups
Semigroup Forum, 1996 An element \(a\) of a semigroup \(S\) is said to be square-cancellable if, for all \(x,y\in S^1\), \(a^2x=a^2y\) implies \(ax=ay\) and \(xa^2=ya^2\) implies \(xa=ya\). Let \(S\) be a subsemigroup of \(Q\). Then \(Q\) is a semigroup of left quotients of \(S\) and \(S\) is a left order in \(Q\) if every square-cancellable element of \(S\) lies in a ...
Márki, L., Anh, P.N., Fountain, J.
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Completely 0-simple and homogeneous 𝑛 regular semigroups [PDF]
Proceedings of the American Mathematical Society, 1965 2. Definition and notation. Let a5zO be a regular element of a semigroup S. An element x in S is called an inverse of a if axa =a and xax = x. Let n be a fixed positive integer. A semigroup S with zero is said to be homogeneous n regular if every nonzero element of S has precisely n distinct inverse elements in S.
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Completely 0-simple semigroups of quotients
Journal of Algebra, 1986 Let Q be a completely 0-simple semigroup. Write \(a^{-1}\) for \(a\in Q\) iff \(a^ 2\neq 0\) and \(a^{-1}\) is the inverse of a in the \({\mathcal H}\)- class \(H_ a\), which is a group by \(a^ 2\neq 0\). Let S be a subsemigroup of Q. Then Q is called a semigroup of left [right] quotients of S iff each \(q\in Q\) can be written as \(q=a^{-1}b\) \([q=cd^
Fountain, John, Petrich, Mario
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Idempotents in completely 0-simple semigroups [PDF]
Glasgow Mathematical Journal, 1978 The structure theorem for completely 0-simple semigroups established by Rees [5] in 1940 has proved a very powerful tool in the investigation of such semigroups. In this paper the theorem is applied to an investigation of the subsemigroup of a completely 0-simple semigroup generated by its idempotents. Previous work on this problem has been carried out
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Context‐free graphs and their transition groups
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
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Composition of Fractional Integral and Derivative Operators: Summarised in Tables
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14682-14696, 15 September 2026.ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
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