Relative ranks in the monoid of endomorphisms of an independence algebra

被引：17

作者：

Araujo, J. ^{[1
]}

Mitchell, J. D.

机构：

[1] Univ Aberta, R Escola Politecn 147, P-1269001 Lisbon, Portugal

[2] Univ Lisbon, Ctr Algebra, P-1699 Lisbon, Portugal

[3] Univ St Andrews, Inst Math, St Andrews KY16 9SS, Fife, Scotland

来源：

MONATSHEFTE FUR MATHEMATIK | 2007年 / 151卷 / 01期

关键词：

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

D O I：

10.1007/s00605-006-0433-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 10

页数：10

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