Standard elements of the lattice of monoid varieties

Abstract

We completely classify all standard elements in the lattice of all monoid varieties. In particular, we prove that an element of this lattice is standard if and only if it is neutral.

7 pages

References in corpus (1)

• On the ascending and descending chain conditions in the lattice of monoid varieties

Cited by in corpus (3)

• Two weaker variants of congruence permutability for monoid varieties
• Cancellable elements of the lattice of monoid varieties
• Distributive and lower-modular elements of the lattice of monoid varieties