On algebra-lattices
On another two cryptographic identities in universal Osborn loops.
On automorphisms of algebras with a single unary operation
On Cartesian products
On certain congruence lattices of finite unary algebras
On countably universal Boolean algebras compact classes of models
On embedding of lattices in simple lattices
On equationally compact semigroups.
On existence conditions for compatible tolerances
On groups in which idempotent reducts form a chain
On Interassociativity and Related Questions
On middle universal weak and cross inverse property loops with equal length of inverse cycles.
On products of binary relational structures
On reductive and distributive algebras
The paper investigates idempotent, reductive, and distributive groupoids, and more generally -algebras of any type including the structure of such groupoids as reducts. In particular, any such algebra can be built up from algebras with a left zero groupoid operation. It is also shown that any two varieties of left -step reductive -algebras, and of right -step reductive -algebras, are independent for any positive integers and . This gives a structural description of algebras in the join of...
On regular congruences
On representations of monoids as monoids of polynomials
On some invariants of unary algebras
On some non-obvious connections between graphs and unary partial algebras
In the present paper we generalize a few algebraic concepts to graphs. Applying this graph language we solve some problems on subalgebra lattices of unary partial algebras. In this paper three such problems are solved, other will be solved in papers [Pió I], [Pió II], [Pió III], [Pió IV]. More precisely, in the present paper first another proof of the following algebraic result from [Bar1] is given: for two unary partial algebras and , their weak subalgebra lattices are isomorphic if and only...
On surjective kernels of partial algebras.
On the adjointness between operations and relations and its impact on atomic compactness