Relative ranks in the monoid of endomorphisms of an independence algebra

J. Araujo; J. D. Mitchell

doi:10.1007/s00605-006-0433-5

Relative ranks in the monoid of endomorphisms of an independence algebra

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Abstract

The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank modulo two distinguished subsets are calculated. These subsets are the group of automorphisms and the endomorphisms alpha satisfying alpha(2) = alpha. The extra generators are characterised in each case.

Original language	English
Pages (from-to)	1-10
Number of pages	10
Journal	Monatshefte für Mathematik
Volume	151
Issue number	1
DOIs	https://doi.org/10.1007/s00605-006-0433-5
Publication status	Published - May 2007

Keywords

independence algebras
endomorphisms
relative rank
TRANSFORMATION SEMIGROUPS
IDEMPOTENT ENDOMORPHISMS
GENERATORS
PRODUCTS
SETS

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10.1007/s00605-006-0433-5

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title = "Relative ranks in the monoid of endomorphisms of an independence algebra",

abstract = "The relative ranks of the monoid of endomorphisms of a strong independence algebra of infinite rank modulo two distinguished subsets are calculated. These subsets are the group of automorphisms and the endomorphisms alpha satisfying alpha(2) = alpha. The extra generators are characterised in each case.",

keywords = "independence algebras, endomorphisms, relative rank, TRANSFORMATION SEMIGROUPS, IDEMPOTENT ENDOMORPHISMS, GENERATORS, PRODUCTS, SETS",

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KW - endomorphisms

KW - relative rank

KW - TRANSFORMATION SEMIGROUPS

KW - IDEMPOTENT ENDOMORPHISMS

KW - GENERATORS

KW - PRODUCTS

KW - SETS

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Relative ranks in the monoid of endomorphisms of an independence algebra

Abstract

Keywords

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