SMB algebras I: On the variety of SMB algebras
Petar Djapi\'c, Petar Markovi\'c, Ralph McKenzie, Aleksandar, Proki\'c
TL;DR
This paper introduces SMB algebras, a new class of algebraic structures formed by semilattices of Mal'cev blocks, and initiates their systematic study.
Contribution
It defines the variety of SMB algebras and begins the exploration of their properties and structure.
Findings
Introduction of SMB algebras as a new algebraic variety
Initial structural properties of SMB algebras
Foundation for further research in this area
Abstract
We begin the investigation of the variety of semilattices of Mal'cev blocks, which we call SMB algebras.
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Taxonomy
TopicsAdvanced Algebra and Logic · Rings, Modules, and Algebras · semigroups and automata theory