کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584455 1630488 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Generators of maximal orders
ترجمه فارسی عنوان
ژنراتورهای سفارشات حداکثر
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Let R be the ring of algebraic integers in a number field K and let Λ be a maximal order in a finite dimensional semisimple K-algebra B. Building on our previous work [3], we compute the smallest number of algebra generators of Λ considered as an R-algebra. This reproves and vastly extends the results of P.A.B. Pleasants, who considered the case when B is a number field. In order to achieve our goal, we obtain several results about counting generators of algebras which have finitely many elements. These results should be of independent interest.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 426, 15 March 2015, Pages 32–50
نویسندگان
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