On ockham algebras whose endomorphism semigroups are regular
- 1 January 1996
- journal article
- research article
- Published by Taylor & Francis in Communications in Algebra
- Vol. 24 (3) , 919-928
- https://doi.org/10.1080/00927879608825611
Abstract
If an Ockham algebra L belongs to a Berman class and its endomorphism semigroup End L is regular then necessarily L ∈ Kp 2 for some p. For a given L∈Kp 2 the question of precisely when End L is regular is solved in the case where L is subdirectly irreducible. Using a particular construction, we show that every Berman class Kp 2 contains an algebra L for which End L is an inverse semigroup.Keywords
This publication has 3 references indexed in Scilit:
- Ockham AlgebrasPublished by Oxford University Press (OUP) ,1994
- Posets whose monoids of order-preserving maps are regularOrder, 1989
- Distributive lattices with an additional unary operationAequationes mathematicae, 1977