Monoid varieties and semigroup theory form a vibrant subfield of algebra that studies classes of algebraic structures defined by equational identities. Monoids, which are semigroups with an identity ...

This is a preview. Log in through your library . Abstract For any finite commutative multiplicative monoid S with an element 0 such that S0 = {0} ≠ S, some decompositions of S are given as the ...

A Puiseux monoid is an additive submonoid of the nonnegative rational numbers. If M is a Puiseux monoid, then the question of whether each nonunit element of M can be written as a sum of irreducible ...