ON OCKHAM ALGEBRAS WHOSE ENDOMORPHISM SEMIGROUPS ARE REGULAR

Authors
BLYTH TS SILVA HJ
Citation
Ts. Blyth et Hj. Silva, ON OCKHAM ALGEBRAS WHOSE ENDOMORPHISM SEMIGROUPS ARE REGULAR, Communications in algebra, 24(3), 1996, pp. 919-928
Citations number
3
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Communications in algebra → ACNP
ISSN journal
00927872
Volume
24
Issue
3
Year of publication
1996
Pages
919 - 928
Database
ISI
SICI code
0092-7872(1996)24:3<919:OOAWES>2.0.ZU;2-G
Abstract
If an Ockham algebra L belongs to a Berman class and its endomorphism semigroup End L is regular then necessarily L is an element of K-p,K-2 for some p. For a given L is an element of K-p,K-2, the question of p recisely when End L is regular is solved in the case where L is subdir ectly irreducible. Using a particular construction, we show that every Berman class K-p,K-2 contains an algebra L for which End L is an inve rse semigroup.