Hamiltonian closure on universal algebras.

DOI10.1134/S0037446614030112zbMath1304.08002OpenAlexW2022439034MaRDI QIDQ404720

Aleksandr Georgievich Pinus

Publication date: 4 September 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446614030112

zbMATH Keywords

Hamiltonian algebrasHamiltonian closed subalgebrasHamiltonian closuresHamiltonian simple algebrasHamiltonian varieties

Mathematics Subject Classification ID

Complete lattices, completions (06B23) Lattice ideals, congruence relations (06B10) Subalgebras, congruence relations (08A30) Modular lattices, Desarguesian lattices (06C05) Equational classes, universal algebra in model theory (03C05) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (1)

АЛГЕБРЫ РИСА И КОНГРУЭНЦ-АЛГЕБРЫ РИСА В ОДНОМ КЛАССЕ АЛГЕБР С ОПЕРАТОРОМ И ОСНОВНОЙ ОПЕРАЦИЕЙ ПОЧТИ ЕДИНОГЛАСИЯ

Cites Work

• The classical Galois closure for universal algebras
• Each Hamiltonian variety has the congruence extension property
• Model theory for infinitary logic. Logic with countable conjunctions and finite quantifiers
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