کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6415827 1336147 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On algebras of strongly derived unbounded type
ترجمه فارسی عنوان
بر روی جبری از نوع بدون محدودیت بسیار قوی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

Let A be a finite-dimensional algebra over an algebraically closed field. We prove that A is of strongly derived unbounded type (see Definition 1.1) if and only if there exists an integer m such that Cm(projA), the category of all minimal projective A-module complexes with degree concentrated in [0,m], is of strongly unbounded type, which is also equivalent to the statement that the repetitive algebra Aˆ is of strongly unbounded representation type. As a corollary, we can establish the Finite-Strongly unbounded dichotomy on the representation type of Cm(projA), and also the Discrete-Strongly unbounded dichotomy on the representation type of homotopy category Kb(projA) and the repetitive algebra Aˆ.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 220, Issue 4, April 2016, Pages 1462-1474
نویسندگان
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