Explore: Representations Of Semigroups

of a group. Of these we mention: regular semigroups, orthodox semigroups, semigroups with involution, inverse semigroups and cancellative semigroups.

semigroup is an inverse semigroup. Special classes of semigroups Orthodox semigroup Proceedings of the Conference in honour of A.H. Clifford. New Orleans

set Special classes of semigroups Composition ring Dominique Perrin; Jean Eric Pin (2004). Infinite Words: Automata, Semigroups, Logic and Games. Academic

inverse semigroup can be embedded in a symmetric inverse semigroup (see § Homomorphisms and representations of inverse semigroups below). The inverse of an

Guralnick, Robert M. (1997), "Shirshov's theorem and representations of semigroups", Pacific Journal of Mathematics, 181 (3): 159–176, doi:10.2140/pjm.1997

unique maximal subgroup (as a semigroup) is S itself. Considering subgroups, and in particular maximal subgroups, of semigroups often allows one to apply

exponentiation. These can be of quite general use, for example in modular arithmetic or powering of matrices. For semigroups for which additive notation

idea of the Stone–von Neumann theorem is that any two irreducible representations of the canonical commutation relations are unitarily equivalent. Since

16, 1937) is an American mathematician known for work in the theory of semigroups, finite-state automata, and algebraic approaches to differential equations

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