کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493347 | 1334236 | 2005 | 42 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Generalized Burnside-Grothendieck ring functor and aperiodic ring functor associated with profinite groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
For every profinite group G, we construct two covariant functors ÎG and APG which are equivalent to the functor WG introduced in [A. Dress, C. Siebeneicher, The Burnside ring of profinite groups and the Witt vectors construction, Adv. Math. 70 (1988) 87-132]. We call ÎG the generalized Burnside-Grothendieck ring functor and APG the aperiodic ring functor (associated with G). In case G is abelian, we also construct another functor ApG from the category of commutative rings with identity to itself as a generalization of the functor Ap introduced in [K. Varadarajan, K. Wehrhahn, Aperiodic rings, necklace rings, and Witt vectors, Adv. Math. 81 (1990) 1-29]. Finally, it is shown that there exist q-analogues of these functors (i.e., WG,ÎG,APG, and ApG) in case G is the profinite completion of the multiplicative infinite cyclic group CË.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 291, Issue 2, 15 September 2005, Pages 607-648
Journal: Journal of Algebra - Volume 291, Issue 2, 15 September 2005, Pages 607-648
نویسندگان
Young-Tak Oh,