Generators for the Semigroup of Endomorphisms of an Independence Algebra

• 来源期刊: 代数集刊（英文版）
• 关键词: semigroups independence algebras endomorphisms generators
• 年，卷（期）: 2002,（4）
• 页码范围: 375-382
• 页数: 8页
• 语种: 英文

摘要

Given an independence algebra 4 of infinite rank, we denote the endomorphism monoid and the automorphism group of A by End(A) and Aut(A), respectively. This paper is concerned with finding minimal subsets R of End(A) such that Aut(A) ∪ E(End(A)) ∪ R is a generating set for End(A), where E(End(A))denotes its set of idempotents.