mathematics, a semigroup is a nonempty set together with an associative binary operation. A special class of semigroups is a class of semigroups satisfying...
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independent of time. There are numerous special classes of semigroups, semigroups with additional properties, which appear in particular applications. Some of these...
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would make the semigroup uniformly continuous). Analytic semigroups, (eventually) differentiable semigroups and (eventually) compact semigroups are all eventually...
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set Special classes of semigroups Composition ring Dominique Perrin; Jean Eric Pin (2004). Infinite Words: Automata, Semigroups, Logic and Games. Academic...
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an element x in S such that axa = a. Regular semigroups are one of the most-studied classes of semigroups, and their structure is particularly amenable...
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divisors of iterated block products of copies of the two-element semilattice. Monogenic semigroup Special classes of semigroups Kilp, Mati; Knauer, Ulrich; Mikhalev...
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In mathematics, the bicyclic semigroup is an algebraic object important for the structure theory of semigroups. Although it is in fact a monoid, it is...
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A numerical semigroup S is pseudo-symmetric if and only if g(S) = (F(S) + 2)/2. Frobenius number Special classes of semigroups Semigroup Sylver coinage...
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inverse semigroups are a subclass of *-semigroups. It is also textbook knowledge that an inverse semigroup can be characterized as a regular semigroup in which...
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regular semigroup" stems from Lyapin's book on semigroups. In the Russian literature, completely regular semigroups are often called "Clifford semigroups"....
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monogenic semigroup is a semigroup generated by a single element. Monogenic semigroups are also called cyclic semigroups. The monogenic semigroup generated...
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generalisations of an inverse semigroup are: (Left, right, two-sided) adequate semigroups. (Left, right, two-sided) ample semigroups. (Left, right, two-sided)...
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a semigroup with two elements is a semigroup for which the cardinality of the underlying set is two. There are exactly five nonisomorphic semigroups having...
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Band (algebra) (redirect from Idempotent semigroup)
(multiplicatively) idempotent Nowhere commutative semigroup Special classes of semigroups Orthodox semigroup Reversible cellular automaton § One-dimensional...
13 KB (1,791 words) - 01:50, 22 March 2025
the study of cancellative semigroups can be traced to the first substantial paper on semigroups, (Suschkewitsch 1928). Let S be a semigroup. An element...
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classes of orthodox semigroups had been studied earlier. For example, semigroups that are also unions of groups, in which the sets of idempotents form subsemigroups...
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with one element Semigroup with one element Semigroup with two elements Semigroup with three elements Special classes of semigroups A. H. Clifford, G...
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pairs of non-commutative non-band semigroups. Special classes of semigroups Semigroup with two elements Semigroup with one element Empty semigroup Andreas...
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precisely in semigroup theory, a variety of finite semigroups is a class of semigroups satisfying specific algebraic properties. Those classes can be defined...
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distinct nonisomorphic semigroups with one element is one. If S = { a } is a semigroup with one element, then the Cayley table of S is The only element...
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Rees matrix semigroups are a special class of semigroups introduced by David Rees in 1940. They are of fundamental importance in semigroup theory because...
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In mathematics, Brandt semigroups are completely 0-simple inverse semigroups. In other words, they are semigroups without proper ideals and which are also...
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regular semigroup is both catholic and orthodox if and only if the semigroup is an inverse semigroup. Special classes of semigroups Orthodox semigroup Proceedings...
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IP set (category Semigroup theory)
addition to subsets of semigroups and partial semigroups in general. A variant of Hindman's theorem is true for arbitrary semigroups. Ergodic Ramsey theory...
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elements of S are inverses of each other. Nowhere commutative semigroups can be characterized in several different ways. If S is a semigroup then the...
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Epigroup (redirect from Group-bound semigroup)
generalization of periodic semigroups, thus all finite semigroups are also epigroups. The class of epigroups also contains all completely regular semigroups and...
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Monoid (category Semigroup theory)
identity element being 0. Monoids are semigroups with identity. Such algebraic structures occur in several branches of mathematics. The functions from a set...
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David Rees (mathematician) (category Academics of the University of Manchester)
semigroups, in what is nowadays known as Rees's theorem. The matrix-based semigroups used in this characterisation are called Rees matrix semigroups....
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Function composition (redirect from Composition of functions)
History of the Algebraic Theory of Semigroups. American Mathematical Society. p. 334. ISBN 978-1-4704-1493-1. Grillet, Pierre A. (1995). Semigroups: An Introduction...
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Oscillator representation (redirect from Oscillator semigroup)
S2CID 116687780 Lawson, J. D. (2011), "Semigroups of Olshanski type", in Hofmann, K. H.; Lawson, J. D.; Vinberg, E. B. (eds.), Semigroups in Algebra, Geometry and Analysis...
106 KB (21,532 words) - 22:35, 12 January 2025