<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

Pubblicato online: 21 set 2017

Pagine: 171 - 183

Ricevuto: 20 mag 2016

Accettato: 02 set 2016

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

Parole chiave
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

Pubblicato online: 21 set 2017

Pagine: 171 - 183

Ricevuto: 20 mag 2016

Accettato: 02 set 2016

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

Parole chiaveAlgebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product

© 2017

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

Parole chiave
Algebraic hyperstructures, Hyperlattice, Almost principal ideal, Compatible function, Tensor product