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Locicaly separable algebras in varieties of algebras.
Authors: B. Plotkin
be an arbitrary variety of algebras and H be an algebra in . Along with algebraic geometry in over the distinguished algebra H we consider logical geometry in over H. This insight leads to a system of notions and stimulates a number of new problems. We introduce a notion of logically separable in algebras and consider it in the frames of logically-geometrical relations between different H1 and H2 in . The paper is aimed to give a flavor of a rather new subject in a short and concentrated manner.
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Abstract
Let be an arbitrary variety of algebras and H be an algebra in . Along with algebraic geometry in over the distinguished algebra H we consider logical geometry in over H. This insight leads to a system of notions and stimulates a number of new problems. We introduce a notion of logically separable in algebras and consider it in the frames of logically-geometrical relations between different H1 and H2 in . The paper is aimed to give a flavor of a rather new subject in a short and concentrated manner.
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Contents
- Properties of accessible subrings of topological rings when taking quotient rings.
- Identities with permutations associated with quasigroups isotopic to groups.
- On natural and conatural sets of left ideals of a ring.
- Locicaly separable algebras in varieties of algebras.
- On definitions of groupoids closely connected with quasigroups.
- Radicals of Morita rings revisited.
- Isomorphism of the factor powers of finite groups.
- On torsionfree LCA groups with commutative rings of continuous endomorphisms.
- Crossed-inverse-property groupoids.
- An abstract approach to the study of derivation mappings on non-commutative rings.
- Quasivarieties of Commutative Solvable Moufang loops.
- On description of some radical filters of noetherian rings.
