کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497238 | 1630758 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A central closure construction for certain algebra extensions. Applications to Hopf actions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Algebra extensions AâB where A is a left B-module such that the B-action extends the multiplication in A are ubiquitous. We encounter examples of such extensions in the study of group actions, group gradings or more general Hopf actions as well as in the study of the bimodule structure of an algebra. In this paper we are extending R.Wisbauer's method of constructing the central closure of a semiprime algebra using its multiplication algebra to those kinds of algebra extensions. More precisely if A is a k-algebra and B some subalgebra of End(A) that contains the multiplication algebra of A, then the self-injective hull A^ of A as B-module becomes a k-algebra provided A does not contain any nilpotent B-stable ideals. We show that under certain assumptions A^ can be identified with a subalgebra of the Martindale quotient ring of A. This construction is then applied to Hopf module algebras.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 198, Issues 1â3, 1 June 2005, Pages 297-316
Journal: Journal of Pure and Applied Algebra - Volume 198, Issues 1â3, 1 June 2005, Pages 297-316
نویسندگان
Christian Lomp,