Effective dimension of finite semigroups
Copyright policy )Effective dimension of finite semigroups
In this paper we discuss various aspects of the problem of determining the minimal dimension of an injective linear representation of a finite semigroup over a field. We outline some general techniques and results, and apply them to numerous examples.
To appear in J. Pure Appl. Alg
- City College of New York United States
- City College of New York United States
- Uppsala University Sweden
- Uppsala universitet Sweden
- City University of New York United States
Free semigroups, generators and relations, word problems, Analysis of algorithms and problem complexity, Representation of semigroups; actions of semigroups on sets, semigroup rings, Group Theory (math.GR), effective dimension, path semigroups, FOS: Mathematics, Representation Theory (math.RT), Algebra and Number Theory, linear representations, decidability, Representation theory of associative rings and algebras, finite semigroups, semigroups of matrices, full transformation semigroups, cyclic semigroups, commutative inverse semigroups, Semigroups of transformations, relations, partitions, etc., generalized group mapping semigroups, effective representations, nilpotent semigroups, symmetric inverse semigroups, General structure theory for semigroups, finite monoids, left regular bands, Mathematics - Group Theory, Mathematics - Representation Theory, faithful representations
Free semigroups, generators and relations, word problems, Analysis of algorithms and problem complexity, Representation of semigroups; actions of semigroups on sets, semigroup rings, Group Theory (math.GR), effective dimension, path semigroups, FOS: Mathematics, Representation Theory (math.RT), Algebra and Number Theory, linear representations, decidability, Representation theory of associative rings and algebras, finite semigroups, semigroups of matrices, full transformation semigroups, cyclic semigroups, commutative inverse semigroups, Semigroups of transformations, relations, partitions, etc., generalized group mapping semigroups, effective representations, nilpotent semigroups, symmetric inverse semigroups, General structure theory for semigroups, finite monoids, left regular bands, Mathematics - Group Theory, Mathematics - Representation Theory, faithful representations
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