کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4584081 1630472 2015 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representability of algebras finite over their centers
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Representability of algebras finite over their centers
چکیده انگلیسی

Any (associative) left Noetherian algebra over a field, which is finitely generated as an algebra over a central subring, is representable. As a special case, we give a short proof of the well-known theorem that any algebra over a field, which also is finite (as a module) over a central affine algebra, is representable. We give a counterexample to some natural generalizations, as well as a conjectured generic counterexample, together with specific positive results for irreducible algebras and finitely presented algebras. Also, based on joint work of the second author with Amitsur (posthumous), we show that any semiprimary PI-algebra with radical squared 0 is weakly representable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 442, 15 November 2015, Pages 506–524
نویسندگان
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