کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493273 | 1334233 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Going from cohomology to Hochschild cohomology
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
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چکیده انگلیسی
The relation between 'ordinary' cohomology, and Hochschild cohomology is investigated for quotients of quiver algebras which are either graded or finite-dimensional. It is shown that a resolution of the direct sum of the simple modules of the algebra can often be made two-sided, and yield a resolution of the algebra itself over its enveloping algebra. The multiplicative structures of the cohomologies are shown to be related by a spectral sequence of algebras converging to the Hochschild cohomology, whose first term is given by a tensor product of the algebra itself with its cohomology algebra.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 288, Issue 2, 15 June 2005, Pages 263-278
Journal: Journal of Algebra - Volume 288, Issue 2, 15 June 2005, Pages 263-278
نویسندگان
Emil Sköldberg,