This note extends results of Fern´andez, Leighton, and L´opez-Presa on the uniqueness of rth roots for disconnected graphs with respect to the Cartesian product to other product...
Starting from a decomposition result of MTL-chains as ordinal sums, we focus our attention on a particular kind of indecomposable semihoops, namely weakly cancellative semihoops. ...
For monoids that satisfy a weak cancellation condition, it is shown that the decidability of the existential theory of word equations is preserved under graph products. Furthermore...
In this article we show that every group with a finite presentation satisfying one or both of the small cancellation conditions C (1/6) and C (1/4) − T (4) has the property that...