On semidirect and two-sided semidirect products of finite trivial monoids
On semisimple bands.
On some congruences of power algebras
In a natural way we can “lift” any operation defined on a set A to an operation on the set of all non-empty subsets of A and obtain from any algebra (A, Ω) its power algebra of subsets. In this paper we investigate extended power algebras (power algebras of non-empty subsets with one additional semilattice operation) of modes (entropic and idempotent algebras). We describe some congruence relations on these algebras such that their quotients are idempotent. Such congruences determine some class...
On some constructions of algebraic objects
Mono-unary algebras may be used to construct homomorphisms, subalgebras, and direct products of algebras of an arbitrary type.
On some operator defined on equational classes of algebras
On subdirect decomposition and varieties of some rings with involution. II.
On subdirect decomposition and varieties of some rings with involution.
On subdirectly irreducible lattice-ordered semigroups .
On sums in generalized algebraic categories
On the arity of affine modules
On the associative Nijenhuis relation.
On the characterisation of Mal'tsev and Jónsson-Tarski algebras
There are very strong parallels between the properties of Mal'tsev and Jónsson-Tarski algebras, for example in the good behaviour of centrality and in the factorization of direct products. Moreover, the two classes between them include the majority of algebras that actually arise 'in nature'. As a contribution to the research programme building a unified theory capable of covering the two classes, along with other instances of good centrality and factorization, the paper presents a common framework...
On the congruence extension property.
On the degrees of permutability of subregular varieties
On the dual space of an MS-algebra.
On the existence of non-trivial tolerances in permutable algebras
On the failure of Birkhoff's theorem for locally small based equational categories of algebras
On the finite basis property for semigroup varieties.
On the lattice of completely regular monoid varieties.
On the lattice of torsion classes of lattice ordered groups