FURTHER RESULTS ON SUBDIRECTLY IRREDUCIBLE UNARY ALGEBRAS,

Abstract

Irreducibility conditions for non-connected unary algebras are established. Irreducible representations of unary algebras are demonstrated to be non-unique and a computational method for obtaining an irreducible representation of an arbitrary basic algebra is derived. Furthermore, the concept of decomposability is introduced and related to that of reducibility. A unary algebra is decomposable if it can be non-trivially represented as the homomorphic image of a subalgebra of the direct product of two other unary algebras. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1966
Accession Number
AD0630304

Entities

People

  • M. Yoeli

Organizations

  • SRI International

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Computational Science
  • Cooperation
  • Group Dynamics

Fields of Study

  • Mathematics

Readers

  • Graph Algorithms and Convex Optimization.