Article citationsMore>>

Movsisyan, Y.M. (1986) Introduction to the Theory of Algebras with Hyperidentities. Yerevan State University Press. (In Russian)

has been cited by the following article:

• TITLE: Second-Order Formulas in Action

  AUTHORS: Yuri Movsisyan

  KEYWORDS: Boolean Algebra, Boolean Function, Distributive Lattice, Monotone Boolean Function, De Morgan Algebra, De Morgan Function, Boole-De Morgan Algebra, Quasi-De Morgan Function, Hyperidentity, Coidentity

  JOURNAL NAME: Applied Mathematics, Vol.15 No.9, September 27, 2024

  ABSTRACT: This survey article illustrates many important current trends and perspectives for the field and their applications, of interest to researchers in modern algebra, mathematical logic and discrete mathematics. It covers a number of directions, including completeness theorem and compactness theorem for hyperidentities; the characterizations of the Boolean algebra of n-ary Boolean functions and the bounded distributive lattice of n-ary monotone Boolean functions; the functional representations of finitely-generated free algebras of various varieties of lattices via generalized Boolean functions, etc.