کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4665494 1633810 2015 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
General presentations of algebras
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
General presentations of algebras
چکیده انگلیسی

For any finite dimensional basic associative algebra, we study the presentation spaces and their relation with the representation spaces. We prove two theorems about a general presentation, one on its subrepresentations and the other on its canonical decomposition. As a special case, we consider rigid presentations. We show how to complete a rigid presentation and study the number of nonisomorphic direct summands and different complements. Based on that, we construct a simplicial complex governing the canonical decompositions of rigid presentations and provide some examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 278, 25 June 2015, Pages 210–237
نویسندگان
, ,