Almost principal ideals and tensor product of hyperlattices

作者：Lashkenari A Soltani; Davvaz B^*

来源：Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, 2017, 25(2): 171-183.

DOI：10.1515/auom-2017-0028

• Algebraic hyperstructures
• Hyperlattice
• Almost principal ideal
• Compatible function
• Tensor product

In this paper, by considering the notion of congruences on hyperlattices 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.

• 出版日期2017