<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

Data publikacji: 21 wrz 2017

Zakres stron: 171 - 183

Otrzymano: 20 maj 2016

Przyjęty: 02 wrz 2016

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

Słowa kluczowe
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

Data publikacji: 21 wrz 2017

Zakres stron: 171 - 183

Otrzymano: 20 maj 2016

Przyjęty: 02 wrz 2016

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

Słowa kluczoweAlgebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product

© 2017

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

Słowa kluczowe
Algebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product