Products of idempotent endomorphisms of an order-independence algebra of finite rank

• Type: Article in International Scientific Journal
• Date: 1997

Authors

Oliveira, A (Author) FCUP

Journal

Title: Semigroup Forum

Vol. 55

Pages: 309-324

ISSN: 0037-1912

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-001-AE8

DOI: 10.1007/pl00005932

Abstract (EN): In a previous paper, we have defined the class of order-independence algebras, which includes chains and finite Boolean algebras as special cases. In this paper we prove that every non-invertible order-preserving endomorphism of an order-independence algebra of finite rank is a product of idempotents. This provides a common generalisation of the results of Aizenstat and Howie for finite chains and Magill for finite Boolean algebras.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16