19 citations · 81 across the 20 of their papers we have counts for
6 papers · 1 filter
Flat extensions of groups and limit varieties of ai-semirings
Miaomiao Ren, Marcel Jackson, Xianzhong Zhao +1
The present paper is a continuation of \cite{jrz} and is devoted to the study of limit varieties of additively idempotent semirings. A limit variety is a nonfinitely based variety…
Algebras defined by equations
Peter M Higgins, Marcel Jackson
We show that a class of algebras is closed under the taking of homomorphic images and direct products if and only if the class consists of all algebras that satisfy a set of (gener…
Low growth equational complexity
Marcel Jackson
The equational complexity function of an equational class of algebras bounds the size of equation required to determine member…
On the atoms of algebraic lattices arising in -theory
Attila Egri-Nagy, Marcel Jackson, John Rhodes +1
We determine many of the atoms of the algebraic lattices arising in -theory of finite semigroups.
Monoid varieties with extreme properties
Marcel Jackson, Edmond W. H. Lee
Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and surprisingly, no finite monoid is known to generate a monoid variety with countably…
Natural dualities, nilpotence and projective planes
Marcel Jackson
We use an interpretation of projective planes to show the inherent nondualisability of some finite semigroups. The method is sufficiently flexible to demonstrate the nondualisabili…