The strong endomorphism kernel property in Ockham algebras

T. S. Blyth, H. J. Silva

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

An endomorphism on an algebra A is said to be "strong" if it is compatible with every congruence on A; and si is said to have the "strong endomorphism kernel property" if every congruence on si, different from the universal congruence, is the kernel of a strong endomorphism on A. Here we consider this property in the context of Ockham algebras. In particular, for those MS-algebras that have this property we describe the structure of their dual space in terms of 1-point compactifications of discrete spaces.

Original languageEnglish
Pages (from-to)1682-1694
Number of pages13
JournalCommunications in Algebra
Volume36
DOIs
Publication statusPublished - May 2008

Keywords

  • endomorphism kernel
  • Ockham algebra
  • I-point compactification

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