کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6414886 1630524 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Polynomial extensions of semistar operations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Polynomial extensions of semistar operations
چکیده انگلیسی

We provide a complete solution to the problem of extending arbitrary semistar operations of an integral domain D to semistar operations of the polynomial ring D[X]. As an application, we show that one can reobtain the main results of the papers in Chang and Fontana (2007, 2011) [1,2] concerning the problem in the special cases of stable semistar operations of finite type or semistar operations defined by families of overrings. Finally, we investigate the behavior of the polynomial extensions of the most important and classical operations such as dD, vD, tD, wD and bD operations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 390, 15 September 2013, Pages 250-263
نویسندگان
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