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Journal of Pure and Applied Algebra
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Journal of Pure and Applied Algebra
Article . 2012
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Effective dimension of finite semigroups

Authors: Benjamin Steinberg; Volodymyr Mazorchuk;

Effective dimension of finite semigroups

Abstract

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

Keywords

Algebra and Number Theory, FOS: Mathematics, Group Theory (math.GR), Representation Theory (math.RT), Mathematics - Group Theory, Mathematics - Representation Theory

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    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
hybrid