Volume no :3, Issue no: 1, February (2010)

GENERALIZED UNSOLID AND GENERALIZED FLUID VARIETIES OF ALGEBRAS

Author's: Sarawut Phuapong and Sorasak Leeratanavalee
Pages: [65] - [86]
Received Date: January 7, 2010
Submitted by:

Abstract

Generalized hypersubstitutions are mappings from the set of all fundamental operations into the set of all terms of the same language do not necessarily preserve the arities. Strong hyperidentities are identities, which are closed under these generalized hypersubstitutions and a strongly solid variety is a variety, which every its identity is a strong hyperidentity. In this paper, we defined relations on the set of all regular generalized hypersubstitutions, and investigate some algebraic structural properties of the monoid of all regular generalized hypersubstitutions.

Keywords

generalized hypersubstitution, regular generalized hypersub-stitution, generalized derived algebra, generalized unsolid, generalized fluid.