Lattice valued algebras.
In this paper we propose a general approach to the theory of fuzzy algebras, while the early existing papers deal with a particular type of fuzzy structures as fuzzy groups, fuzzy ideals, fuzzy vector spaces and so on.
Lattices of relative colour-families and antivarieties
We consider general properties of lattices of relative colour-families and antivarieties. Several results generalise the corresponding assertions about colour-families of undirected loopless graphs, see [1]. Conditions are indicated under which relative colour-families form a lattice. We prove that such a lattice is distributive. In the class of lattices of antivarieties of relation structures of finite signature, we distinguish the most complicated (universal) objects. Meet decompositions in lattices...
Limit preserving full embeddings.
Linear identities in graph algebras
We find the basis of all linear identities which are true in the variety of entropic graph algebras. We apply it to describe the lattice of all subvarieties of power entropic graph algebras.
Mal'tsev--Neumann products of semi-simple classes of rings
Malt’tsev–Neumann products of semi-simple classes of associative rings are studied and some conditions which ensure that such a product is again a semi-simple class are obtained. It is shown that both products, and of semi-simple classes and are semi-simple classes if and only if they are equal.
Minimal algebras and category equivalences
Minimal formations of universal algebras
A class ℱ of universal algebras is called a formation if the following conditions are satisfied: 1) Any homomorphic image of A ∈ ℱ is in ℱ; 2) If α₁, α₂ are congruences on A and , i = 1,2, then A/(α₁∩α₂) ∈ ℱ. We prove that any formation generated by a simple algebra with permutable congruences is minimal, and hence any formation containing a simple algebra, with permutable congruences, contains a minimum subformation. This result gives a partial answer to an open problem of Shemetkov and Skiba...
Monoid varieties defined by xn+1 = ... are local.
Monoides de comptage et langages rationnels.
Monotonic valuations and valuations of triads of higher types
Morita equivalence of algebraic theories
-permutable locally finitely presentable categories.
Notes on effective descent and projectivity in quasivarieties of universal algebras.
On a conjecture of Rhodes.
On a question of Pultr regarding categories of structures
On a theorem of Šutov.
On automorphisms of the lattice of quasivarieties of lattice-ordered groups
On compact classes of models
On convexities of lattices
On countably compact reduced products, III