有序左几乎超环

Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020) Pub Date : 2021-05-11 DOI:10.2991/ASSEHR.K.210508.083

A. M. Muftirridha, A. Alghofari, N. Hidayat

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摘要

本文引入了左几乎超环的概念，并给出了满足一定条件的偏关系序。这种结构被称为有序左近超环(la -超环)。进一步研究了有序la -超环成为有序超环的一些有用条件。同时，研究了有序la -超环的超列、双超列和拟超列的概念，并讨论了它们的性质。

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Ordered Left Almost Hyperring

In this paper, we introduce the concept of left almost hyperring together with a partial relation order such that satisfies some conditions. This structure is called by ordered left almsot hyperring (LA-hyperring). Further, we study some useful contiditons for ordered LA-hyperring to become an ordered hyperring. Also, we notice the notion of hyperideal, bi-hyperideal, and quasi-hyperideal of ordered LA-hyperring and their properties are investigated.

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Proceedings of the 1st International Conference on Mathematics and Mathematics Education (ICMMEd 2020)

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