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math.LO2022
Finite model theory for pseudovarieties and universal algebra: preservation, definability and complexity
Lucy Ham, Marcel Jackson
We explore new interactions between finite model theory and classical streams of universal algebra and semigroup theory. A key result is an example of finite algebras whose variety…
math.GR2022
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…
math.CO2022
Qualitative representations of chromatic algebras
Badriah Al Juaid, Marcel Jackson, James Koussas +1
Conventional Ramsey-theoretic investigations for edge-colourings of complete graphs are framed around avoidance of certain configurations. Motivated by considerations arising in th…