منابع مشابه
The Galois Correspondence between Subvariety Lattices and Monoids of Hypersubstitutions
Denecke and Reichel have described a method of studying the lattice of all varieties of a given type by using monoids of hypersubstitutions. In this paper we develop a Galois correspondence between monoids of hypersubstitutions of a given type and lattices of subvarieties of a given variety of that type. We then apply the results obtained to the lattice of varieties of bands (idempotent semigro...
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The purpose of this paper is to characterizeM -strongly solid monoids of generalized hypersubstitutions of type τ = (2) which is the extension of M -solid monoids of hypersubstitutions of the same type.
متن کاملSubgroups of Free Idempotent Generated Semigroups: Full Linear Monoids
We develop some new topological tools to study maximal subgroups of free idempotent generated semigroups. As an application, we show that the rank 1 component of the free idempotent generated semigroup of the biordered set of a full matrix monoid of size n×n,n > 2 over a division ring Q has maximal subgroup isomorphic to the multiplicative subgroup of Q.
متن کاملTree Transformations Defined by Hypersubstitutions *
Tree transducers are systems which transform trees into trees just as automata transform strings into strings. They produce transformations, i.e. sets consisting of pairs of trees where the first components are trees belonging to a first language and the second components belong to a second language. In this paper we consider hypersubstitutions, i.e. mappings which map operation symbols of the ...
متن کاملHypersubstitutions in Orthomodular Lattices
It is shown that in the variety of orthomodular lattices every hypersubstitution respecting all absorption laws either leaves the lattice operations unchanged or interchanges join and meet. Further, in a variety of lattices with an involutory antiautomorphism a semigroup generated by three involutory hypersubstitutions is described.
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ژورنال
عنوان ژورنال: Discussiones Mathematicae - General Algebra and Applications
سال: 2019
ISSN: 1509-9415,2084-0373
DOI: 10.7151/dmgaa.1314