This article is cited in 2 papers

Hamiltonian closure on universal algebras

A. G. Pinus

Novosibirsk State Technical University, Novosibirsk, Russia

Abstract: We introduce the concept of Hamiltonian closure of subalgebras of universal algebras and obtain a series of its properties and the properties of the lattices of Hamiltonian closed subalgebras of universal algebras.

Keywords: subalgebras and congruences of universal algebras, Hamiltonian closure of a subalgebra, lattices of Hamiltonian closed subalgebras, Hamiltonian simple algebras.

UDC: 511

Received: 24.01.2013

 English version: Siberian Mathematical Journal, 2014, 55:3, 498–502

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