On completions of algebras in SNr_nCA_{n+k}, n\geq 3, k\geq 1

TL;DR

This paper investigates the conditions under which certain algebraic classes related to SNr_nCA_{n+k} are not closed under completions, providing new insights and comparisons with existing literature.

Contribution

It introduces a sufficient condition for non-closure under completions of SNr_nCA_{n+k} algebras and compares it with prior results.

Findings

SNr_nCA_{n+k} classes are not closed under completions under certain conditions

A new sufficient condition for non-closure is provided

Comparison with existing literature clarifies the novelty of the result

Abstract

We give a sufficient condition that implies that SNr_nCA_{n+k}, n\geq 3, k\geq 3 (both finite)is not closed under completions. We compare this condition to existing results in literature.