کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5771801 | 1630423 | 2017 | 51 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Deformations of complexes for finite dimensional algebras
ترجمه فارسی عنوان
تغییر شکل از مجتمع های جبری محدود بعدی
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Let k be a field and let Î be a finite dimensional k-algebra. We prove that every bounded complex V
- of finitely generated Î-modules has a well-defined versal deformation ring R(Î,V
- ) which is a complete local commutative Noetherian k-algebra with residue field k. We also prove that nice two-sided tilting complexes between Î and another finite dimensional k-algebra Î preserve these versal deformation rings. Additionally, we investigate stable equivalences of Morita type between self-injective algebras in this context. We apply these results to the derived equivalence classes of the members of a particular family of algebras of dihedral type that were introduced by Erdmann and shown by Holm to be not derived equivalent to any block of a group algebra.
- of finitely generated Î-modules has a well-defined versal deformation ring R(Î,V
- ) which is a complete local commutative Noetherian k-algebra with residue field k. We also prove that nice two-sided tilting complexes between Î and another finite dimensional k-algebra Î preserve these versal deformation rings. Additionally, we investigate stable equivalences of Morita type between self-injective algebras in this context. We apply these results to the derived equivalence classes of the members of a particular family of algebras of dihedral type that were introduced by Erdmann and shown by Holm to be not derived equivalent to any block of a group algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 491, 1 December 2017, Pages 90-140
Journal: Journal of Algebra - Volume 491, 1 December 2017, Pages 90-140
نویسندگان
Frauke M. Bleher, José A. Vélez-Marulanda,