Maximal non-prime ideally equal subrings of a commutative ring

被引：1
|
作者：
Al-Kuleab, Naseam [1 ]
Jarboui, Noomen [1 ]
Omar, Almallah [2 ]
机构：
[1] King Faisal Univ, Fac Sci, Dept Math, POB 380, Al Hasa 31982, Saudi Arabia
[2] Al Balqa Univ, Amman, Jordan
来源：
RICERCHE DI MATEMATICA | 2018年 / 67卷 / 02期
关键词：
Integral domain; Prime ideal; Algebraic extension; Residually algebraic pair; Prufer domain; Valuation domain; Pullback; DOMAIN; PAIRS;
D O I：
10.1007/s11587-018-0388-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A commutative ring R is said to be maximal non-prime ideally equal subring of S, if Spec(R) not equal Spec(S), whereas Spec(T) = Spec(S) for any subring T of S properly containing R. The aim of this paper is to give a complete characterization of this class of rings.
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页码：951 / 962
页数：12
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