Examples of using Semigroups in English and their translations into Korean
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Ecclesiastic
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On the generators of quantum dynamical semigroups.
His second publication of 1955 was A note on inverse semigroups published in the same journal and co-authored with Douglas Munn.
In short, his interest in classical algebra and number theory brought him to abstract semigroups.
Post and Markov had independently constructed semigroups with this property in 1947.
Another famous contribution made by Thue was his 1910 paper on the word problem for finitely presented semigroups.
Among them we must include, for the theory of semigroups, M P Schutzenberger.
In addition to his work on semigroups, number theory and finite fields, Schwarz contributed to the theory of non-negative and Boolean matrices.
In this context he studied order preserving mappings and semigroups of such mappings.
She also began research into the theory of groups, semigroups and algebraic congruences on her own and in collaboration with P Dubreil or R Croisot.
However it was not until the late 1930s and early 1940s that the study of semigroups became a major topic.
Post showed that the word problem for semigroups was recursively insoluble in 1947, giving the solution to a problem which had been posed by Thue in 1914.
While at Cambridge working towards his doctorate he began to publish articles on semigroups, and on rings of matrices.
Her 1967 paper was entitled Finiteness of semigroups of operators in universal algebra and in it she studied operators on classes of algebraic universal algebras.
Over the next few years his work ranged across group theory, field theory,Lie rings, semigroups, abelian groups and ring theory.
Later on he looked at such semigroups in more abstract settings and produced some further beautiful results characterising projective mappings and certain geometric objects.
In the same year she published The lattice of equational classes of semigroups with zero in the Canadian Mathematical Bulletin.
He was able to find a post in the new Slovak Technical University in Bratislava and he taught there until 1944 publishing a 64 page work Theory of Semigroups in 1943.
One particular contribution we should mention is the Knuth-Bendix algorithm,one of the fundamental algorithms for computing with algebraic structures, particularly with groups and semigroups.
Despite the fact that Hurewicz was his official supervisor,Shields was unofficially supervised by Raphaël Salem who, at that time, was half the time in Paris and half in M.I.T. Shields' first post was at Tulane where he learnt a lot of functional analysis and wrote papers on topological semigroups.
In the direction of Schwarz's research towards semigroup theory is described.
Semigroup(mathematics).
At this conference setting up the journal Semigroup Forum was discussed and Schwarz became an editor from Volume 1 which appeared in 1970, continuing as editor until 1982.
Malcev answered this question by constructing a ring whose multiplicative semigroup was not embeddable in a group.
She then looked at several subsets of these operators and proves that the semigroup which each set generates is finite.
This led, two years later,to another fundamental paper of Malcev where he gave necessary and sufficient conditions for a semigroup to be embeddable in a group.
He again showed his originality by introducing this new area of research which today is being studied by an increasing number of mathematicians working in group theory, semigroup theory, and topology.
Finite Semigroup(mathematics).
A monoid is a semigroup with a distinguished element of A, called unit, that when combined with any other element of A returns that other element again.*/.
A semigroup is an algebraic structure on a set A with an(associative) operation, called add here, that combines a pair of A's and returns another A.*/.