This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice
Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the …

The theory of quasivarieties constitutes an independent direction in algebra and
mathematical logic and specializes in a fragment of first-order logic-the so-called universal …

Symbol Explanation Page a∗(a∗) the unique lower (upper) cover of a 17 0I and 1I the zero
and unit of the interval I 12 Atom (U) set of atoms of the ideal U 106 Aut L automorphism …

George Grätzer started writing his General Lattice Theory in 1968. It was published in 1978.
It set out “to discuss in depth the basics of general lattice theory.” Almost 900 exercises, 193 …

A quasivariety of algebras of finite type is $ Q $-universal if its lattice of subquasivarieties
has, as a homomorphic image of a sublattice, the lattice of subquasivarieties of any …

The aim of this paper is to establish a lattice theoretical framework to study the partially
ordered set $\mathsf {tors} A $ of torsion classes over a finite-dimensional algebra $ A $. We …

In this article, we present a new approach to tackle lattice generation for complex and
heterogeneous data using the concept of convexity. This is a work that we have already …

Granules are the building blocks of concepts of different types in soft computing and rough
sets in particular. These granules can be defined in ways that are related to computing or …

In this paper, the notions of geometric interval spaces, convex geometries, and base-point
orders in the theory of convexity spaces are generalized to M-fuzzifying convexity spaces …

The closure system on a finite set is a unifying concept in logic programming, relational
databases and knowledge systems. It can also be presented in the terms of finite lattices …