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Hyperidentities in many-sorted algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2009
The theory of hyperidentities generalizes the equational theory of universal algebras and is applicable in several elds of science, especially in computers sciences (see e.g., [2, 1]). The main tool to study hyperidentities is the concept of a hypersubstitution. Hypersubstitutions of many-sorted algebras were studied in [3].
Klaus Denecke, Somsak Lekkoksung
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TRANSITIVE HYPERIDENTITY IN SEMIGROUPS

open access: yesProceedings of the YSU A: Physical and Mathematical Sciences, 2016
In this paper we characterize all semigroups in which the hyperidentity of transitivity $X(X(x, y), X(y, z)) = X(x, z) $ is polynomially satisfied. In particular, we show that every transitive semigroup (that is a semigroup with the identity $xy^2z = xz$ ) is also hypertransitive.
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Hyperidentities

open access: yes, 1992
The concept of a free algebra plays an essential role in universal algebra and in computer science. Manipulation of terms, calculations and the derivation of identities are performed in free algebras. Word problems, normal forms, system of reductions, unification and finite bases of identities are topics in algebra and logic as well as in computer ...
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Hyperidentities in associative graph algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2000
Graph algebras were introduced by \textit{C. R. Shallon} in her Ph.D. Thesis [Nonfinitely based binary algebras derived from lattices. UCLA, Los Angeles, Calif. (1979)] as a fruitful source of finite algebras whose laws do not have a finite basis, but they have proved useful in other contexts.
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Super-De Morgan functions and free De Morgan quasilattices

open access: yesOpen Mathematics, 2014
Movsisyan Yuri, Aslanyan Vahagn
doaj   +1 more source

Hyperidentities in transitive graph algebras

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2005
Tiang Poomsa-ard   +2 more
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Distributive hyperidentities in semigroups

Journal of Contemporary Mathematical Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu M Movsisyan
exaly   +3 more sources

Associative nontrivial hyperidentities in semigroups

Journal of Contemporary Mathematical Analysis, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu M Movsisyan
exaly   +2 more sources

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