کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10118858 1633558 2005 33 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A generalization of von Neumann regularity
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات منطق ریاضی
پیش نمایش صفحه اول مقاله
A generalization of von Neumann regularity
چکیده انگلیسی
We propose two theories, one generalizing the notion of regularity, the other symmetric to it. Under two additional axioms (as for the Carson-Lipshitz-Saracino theorems) one obtains model completeness of both theories. Models of these theories can be viewed as rings of sections (over a boolean space) of sheaves whose stalks are valuation rings. Regular rings correspond to the special case where all stalks are trivial valuation rings, that is fields.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annals of Pure and Applied Logic - Volume 135, Issues 1–3, September 2005, Pages 210-242
نویسندگان
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