Hamiltonian ordered algebras and congruence extension-Reference-Cited by-同舟云学术

Hamiltonian ordered algebras and congruence extension

Published:2017-07-14 Issue:4 Volume:67 Page:819-830
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Laan Valdis¹,Sohail Nasir²,Tart Lauri¹

Affiliation:

1. Institute of Mathematics Faculty of Mathematics and Computer Science University of Tartu J. Liivi 2 Tartu Estonia

2. Department of Mathematics , Wilfrid Laurier University 75 University Ave . West Waterloo ON , N2L 3C5 Canada

Abstract

Abstract We introduce the notion of Hamiltonian ordered algebra and explore its relationships with various congruence extension properties for ordered algebras. Furthermore, we give sufficient conditions for extending order-congruences or compatible quasiorders from subalgebras.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0013/pdf

Reference13 articles.

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3. Bulman-Fleming, S.—Mahmoudi, M.: The category of S-posets, Semigroup Forum 71 (2005), 443–461.

4. Bulman-Fleming, S.—Sohail, N.: Examples concerning absolute flatness and amalgamation inpomonoids, Semigroup Forum 80 (2010), 272–292.

5. Chajda, I.: Some modifications of the congruence extension property, Math. Slovaca 45 (1995), 251–254.

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