کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414384 1630468 2016 39 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The Galois closure for rings and some related constructions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The Galois closure for rings and some related constructions
چکیده انگلیسی

Let R be a ring and let A be a finite projective R-algebra of rank n. Manjul Bhargava and Matthew Satriano have recently constructed an R-algebra G(A/R), the Galois closure of A/R. Many natural questions were asked at the end of their paper. Here we address one of these questions, proving the existence of the natural constructions they call intermediate Sn-closures. We will also study properties of these constructions, generalizing some of their results, and proving new results both on the intermediate Sn-closures and on G(A/R).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 446, 15 January 2016, Pages 450-488
نویسندگان
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