Relative Regular Modules. Applications to von Neumann Regular Rings
نویسنده
چکیده
We use the concept of a regular object with respect to another object in an arbitrary category, defined in [3], in order to obtain the transfer of regularity in the sense of Zelmanowitz between the categories R−mod and S−mod, when S is an excellent extension of the ring R. Consequently, we obtain a result of [5]: if S is an excellent extension of the ring R, then S is von Neumann regular ring if and only if R is also von Neumann regular ring. In the second part, using relative regular modules, we give a new proof of a classical result: the von Neumann regular property of a ring is Morita invariant.
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ورودعنوان ژورنال:
- Applied Categorical Structures
دوره 19 شماره
صفحات -
تاریخ انتشار 2011