arXiv subjects

Joshua Grice

Publications and source records attributed to Joshua Grice.

2 recordsLinked to original sources

arXiv2019

Finite Axiomatisability of Subdirectly Irreducible Members of Certain Nilpotent Varieties

Let $\mathcal{V}$ be a congruence permutable variety generated by a finite nilpotent algebra $\mathbf{A}$. If $\mathbf{A}$ is a product of algebras of prime power order, then the class $\mathcal{V}_\text{si}$ of subdirectly irreducible members of $\mathcal{V}$ can be axiomatised by a finite set of elementary sentences.

math.LO↗

arXiv2019

Axiomatisability of the Class of Monolithic Groups in a Variety of Nilpotent Groups

The class of all subdirectly irreducible groups belonging to a variety generated by a finite nilpotent group can be axiomatised by a finite set of elementary sentences.

math.GR↗