کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425209 1633789 2016 73 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homological epimorphisms, recollements and Hochschild cohomology - with a conjecture by Snashall-Solberg in view
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Homological epimorphisms, recollements and Hochschild cohomology - with a conjecture by Snashall-Solberg in view
چکیده انگلیسی

We show that recollements of module categories give rise to homomorphisms between the associated Hochschild cohomology algebras which preserve the strict Gerstenhaber structure, i.e., the cup product, the graded Lie bracket and the squaring map. We review various long exact sequences in Hochschild cohomology and apply our results in order to realise that the occurring maps preserve the strict Gerstenhaber structure as well. As a byproduct, we generalise a known long exact cohomology sequence of Koenig-Nagase to arbitrary surjective homological epimorphisms. We use our observations to motivate and formulate a variation of the finite generation conjecture by Snashall-Solberg.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 299, 20 August 2016, Pages 687-759
نویسندگان
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