کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497170 | 1630754 | 2005 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Good and bad Koszul algebras and their Hochschild homology
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Good and bad Koszul algebras and their Hochschild homology Good and bad Koszul algebras and their Hochschild homology](/preview/png/9497170.png)
چکیده انگلیسی
A systematic study of the homological behavior of finitely and linearly presented modules over Koszul algebras is started. In particular, it is shown that the generating series of the linear Betti numbers of these modules over some precise special Koszul algebras are rationally related to the generating series for the Betti numbers of all local commutative noetherian rings. It is also shown that there are very small commutative Koszul algebras (4 generators and 4, 5 or 6 relations) which are bad in the sense that rational generating series for Betti numbers of linearly presented modules over them cannot be put on a common denominator. Finally, we do some explicit calculations that indicate that if a Koszul algebra is not a local complete intersection, then the generating series for its Hochschild (and also cyclic homology) is an irrational function. This supports the conjecture that the answer to our Question 1 on pp. 185-186 of Roos (Varna (1986) 173-189; Lecture Notes in Mathematics, vol. 1352, Springer, Berlin, 1988) is positive.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 201, Issues 1â3, 1 October 2005, Pages 295-327
Journal: Journal of Pure and Applied Algebra - Volume 201, Issues 1â3, 1 October 2005, Pages 295-327
نویسندگان
Jan-Erik Roos,