We survey results devoted to the lattice of varieties of monoids. Along with known results, some unpublished results are given with proofs. A number of open questions and problems are also formulated
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
Residuation is a fundamental concept of ordered structures and categories. In this survey we conside...
summary:We investigate the variety of residuated lattices with a commutative and idempotent monoid r...
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unp...
A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-...
We study the equational theories and bases of meets and joins of several varieties of plactic-like m...
A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every ...
We study the lattice of varieties of monoids, i.e., algebras with two operations, namely, an associa...
The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to...
In this work we consider monoids as algebras with an associative binary operation and the nullary op...
The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to...
Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and, sur...
In this work we consider monoids as algebras with an associative binary operation and the nullary op...
Abstract. Let M be a commutative monoid. We construct a first-order formula that defines the variety...
We completely determine all varieties of monoids on whose free objects all fully invariant congruenc...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
Residuation is a fundamental concept of ordered structures and categories. In this survey we conside...
summary:We investigate the variety of residuated lattices with a commutative and idempotent monoid r...
We survey results devoted to the lattice of varieties of monoids. Along with known results, some unp...
A variety of universal algebras is called a chain variety if its subvariety lattice is a chain. Non-...
We study the equational theories and bases of meets and joins of several varieties of plactic-like m...
A variety is finitely universal if its lattice of subvarieties contains an isomorphic copy of every ...
We study the lattice of varieties of monoids, i.e., algebras with two operations, namely, an associa...
The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to...
In this work we consider monoids as algebras with an associative binary operation and the nullary op...
The set of all cancellable elements of the lattice of semigroup varieties has recently been shown to...
Finite monoids that generate monoid varieties with uncountably many subvarieties seem rare, and, sur...
In this work we consider monoids as algebras with an associative binary operation and the nullary op...
Abstract. Let M be a commutative monoid. We construct a first-order formula that defines the variety...
We completely determine all varieties of monoids on whose free objects all fully invariant congruenc...
For a monoid M, we denote by G(M) the group of units, E(M) the submonoid generated by the idempotent...
Residuation is a fundamental concept of ordered structures and categories. In this survey we conside...
summary:We investigate the variety of residuated lattices with a commutative and idempotent monoid r...