کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598380 1336284 2006 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Representations of finite partially ordered sets over commutative artinian uniserial rings
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Representations of finite partially ordered sets over commutative artinian uniserial rings
چکیده انگلیسی

Categories of representations of finite partially ordered sets over commutative artinian uniserial rings arise naturally from categories of lattices over orders and abelian groups. By a series of functorial reductions and a combinatorial analysis, the representation type of a category of representations of a finite partially ordered set SS over a commutative artinian uniserial ring R is characterized in terms of S and the index of nilpotency of the Jacobson radical of R. These reductions induce isomorphisms of Auslander–Reiten quivers and preserve and reflect Auslander–Reiten sequences. Included, as an application, is the completion of a partial characterization of representation type of a category of representations arising from pairs of finite rank completely decomposable abelian groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 205, Issue 3, June 2006, Pages 640–659
نویسندگان
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