Self-conjugate functions on Boolean algebras

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Abstract

In section 1 we investigate the properties of a self-conjugate function on a Boolean algebra (BA). In section 2, the notion of self-conjugacy will then be extended to functions of more than one variable and Boolean algebras with operators in which each of the additional operations has this property will be examined. In particular, we extend the definition of ideal element to every structure of this type. The notation of [3] will be used and a familiarity with that paper is assumed. In addition,/" will represent the composition of / with itself n times and id will denote the identity function on a BA.

Original languageEnglish
Pages (from-to)504-512
Number of pages9
JournalNotre Dame Journal of Formal Logic
Volume19
Issue number3
DOIs
StatePublished - Jul 1978

ASJC Scopus Subject Areas

  • Logic

Disciplines

  • Algebra
  • Computer Sciences
  • Mathematics
  • Physical Sciences and Mathematics

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