Abstract

Prime hyperideals and primary hyperideals as two of the most important structures in a Krasner (m, n)-hyperring are defferent from each other in many aspects. In this paper, we aim to define the notion of δ-primary hyperideals in Krasner (m, n)-hyperrings, which unifies the prime and primary hyperideals under one frame. Moreover, we introduce and investigate the notions of 2-absorbing δ-primary and (k, n)-absorbing δ-primay hyperideals of a Krasner (m, n)-hyperring.

中文翻译：

---

在克拉斯纳 (m, n) 超环中的一帧下统一主要和主要超理想

摘要

作为克拉斯纳 ( m , n )超环中最重要的两个结构，质数超理想和初级超理想在许多方面是不同的。在本文中，我们旨在定义Krasner ( m , n )超环中的δ -primary hyperideals 的概念，它将素数和主要超理想统一在一帧下。此外，我们介绍并研究了 Krasner ( m , n )-hyperring的 2-吸收δ -primary 和 ( k , n ) - 吸收δ -primay 超理想的概念。