Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

Generalized inflations and null extensions

Qiang WangShelly L. Wismath — 2004

Discussiones Mathematicae - General Algebra and Applications

An inflation of an algebra is formed by adding a set of new elements to each element in the original or base algebra, with the stipulation that in forming products each new element behaves exactly like the element in the base algebra to which it is attached. Clarke and Monzo have defined the generalized inflation of a semigroup, in which a set of new elements is again added to each base element, but where the new elements are allowed to act like different elements of the base, depending on the context...

The Galois correspondence between subvariety lattices and monoids of hpersubstitutions

Klaus DeneckeJennifer HyndmanShelly L. Wismath — 2000

Discussiones Mathematicae - General Algebra and Applications

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 semigroups), and study the complete sublattices of this lattice obtained through the Galois correspondence.

Page 1

Download Results (CSV)