<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, by considering the notion of congruences on hyper- lattices we define almost principal ideals on hyperlattices. We investigate some properties and prove some results about them. Also, we define compatible functions on hyperlattices and investigate connection between these functions and almost principal ideals. Then, we define tensor product of two hyperlattices and present several properties such as completeness and distributivity on tensor product of hyperlattices. </p></abstract>

In this paper, by considering the notion of congruences on hyper- lattices we define almost principal ideals on hyperlattices. We investigate some properties and prove some results about them. Also, we define compatible functions on hyperlattices and investigate connection between these functions and almost principal ideals. Then, we define tensor product of two hyperlattices and present several properties such as completeness and distributivity on tensor product of hyperlattices.

Almost principal ideals and tensor product of hyperlattices

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Almost principal ideals and tensor product of hyperlattices"}

In this paper, by considering the notion of congruences on hyper- lattices we define almost principal ideals on hyperlattices. We investigate some properties...

Almost principal ideals and tensor product of hyperlattices

Published Online: Sep 21, 2017

Page range: 171 - 183

Received: May 20, 2016

Accepted: Sep 02, 2016

DOI: https://doi.org/10.1515/auom-2017-0028

Keywords
Algebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Almost principal ideals and tensor product of hyperlattices

Published Online: Sep 21, 2017

Page range: 171 - 183

Received: May 20, 2016

Accepted: Sep 02, 2016

DOI: https://doi.org/10.1515/auom-2017-0028

KeywordsAlgebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Algebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product