Height of Prime Hyperideals in Krasner Hyperrings

被引：25
|
作者：
Bordbar, Hashem [1 ]
Cristea, Irina [2 ]
机构：
[1] Shahid Bahonar Univ, Fac Math Stat & Comp Sci, Kerman, Iran
[2] Univ Nova Gorica, Ctr Syst & Informat Technol, Nova Gorica, Slovenia
来源：
FILOMAT | 2017年 / 31卷 / 19期
关键词：
Hyperring; prime/maximal hyperideal; Noetherian/Artinian hyperring; dimension of a hyperring; height of a prime hyperideal;
D O I：
10.2298/FIL1719153B
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Extending the notion of dimension of a hyperring, we introduce the concept of height of a prime hyperideal of a hyperring, similarly as in ring theory, and we present some basic properties and relations with the dimension notion. In the second part of the article we illustrate some results concerning the height of prime hyperideals in Noetherian/Artinian hyperrings.
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页码：6153 / 6163
页数：11
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