Natural dualities for quasivarieties generated by a finite commutative ring.

DOI10.1007/PL00000344zbMath1060.08010OpenAlexW2086699431MaRDI QIDQ1771877

Ross Willard, Lousindi R. Sabourin, Csaba Szabó, David M. Clark, Paweł M. Idziak

Publication date: 19 April 2005

Published in: Algebra Universalis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000344

zbMATH Keywords

Jacobson radicalquasivarietycommutative ringnatural dualities

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Quasivarieties (08C15) (T)-ideals, identities, varieties of associative rings and algebras (16R10) Finite commutative rings (13M99)

Related Items (18)

Naturally dualizable algebras omitting types 1 and 5 have a cube term ⋮ Strong and full dualisability: three-element unary algebras ⋮ DUALIZABLE BUT NOT FULLY DUALIZABLE ALGEBRAS ⋮ Flat unars: the primal, the semi-primal and the dualisable ⋮ Dualisability versus residual character: a theorem and a counterexample ⋮ Dualizability of automatic algebras. ⋮ A juggler's dozen of easy\(^\dag\) problems (\(^\dag\) Well, easily formulated \dots). ⋮ DUALIZABILITY OF GRAPHS ⋮ SUPERNILPOTENCE PREVENTS DUALIZABILITY ⋮ Bohr compactifications of algebras and structures ⋮ DUALISABILITY OF FINITE SEMIGROUPS ⋮ The Complexity of Dualisability: Three-Element Unary Algebras ⋮ Dualizable algebras with parallelogram terms ⋮ UNCOUNTABLY MANY DUALISABLE ALGEBRAS ⋮ An algebra that is dualizable but not fully dualizable ⋮ Transferral of entailment in duality theory II: Strong dualisability ⋮ Binary homomorphisms and natural dualities ⋮ Nondualisable semigroups

This page was built for publication: Natural dualities for quasivarieties generated by a finite commutative ring.