WHEN IS THE RING OF REAL MEASURABLE FUNCTIONS A HEREDITARY RING?

被引：0

作者：

Hejazipour, H. ^{[1
]}

Naghipour, A. R. ^{[1
]}

机构：

[1] Shahrekord Univ, Dept Math Sci, POB 115, Shahrekord, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 06期

关键词：

Measurable functions; hereditary rings; projective prime ideals; PROJECTIVE IDEALS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let M(X, A, mu) be the ring of real-valued measurable functions on a measure space (X, A, mu). In this paper, we characterize the maximal ideals in the rings of real measurable functions and as a consequence, we determine when M(X, A, mu) is a hereditary ring.

引用

页码：1905 / 1912

页数：8

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