Direct products, varieties, and compactness conditions
We study equationally Noetherian varieties of groups, rings and monoids. Moreover, we describe equationally Noetherian direct powers for these algebraic structures.
math.RA↗
arXiv subjects
A. N. Shevlyakov
Publications and source records attributed to A. N. Shevlyakov.
On irreducible algebraic sets over linearly ordered semilattices
Equations over linearly ordered semilattices are studied. For any equation $t(X)=s(X)$ we find irreducible components of its solution set and compute the average number of irreducible components of all equations in $n$ variables.
math.RA↗