Divisibility and duo-rings

被引：0
作者：
Albrecht, Ulrich [1 ]
McQuaig, Bradley [1 ]
机构：
[1] Auburn Univ, Dept Math & Stat, Auburn, AL 36849 USA
来源：
RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2020年 / 143卷
关键词：
Divisible; duo-rings; pre-Matlis; MODULES;
D O I：
10.4171/RSMUP/40
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the projective dimension of the maximal right ring of quotients Q(r)(R) of a right non-singular ring R. Our discussion addresses the question under which conditions pd(Q) <= 1 guarantees that the module Q/R is a direct sum of countably generated modules extending Matlis' Theorem for integral domains to a non-commutative setting.
引用
收藏
页码：81 / 103
页数：23
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