Associative rings with metabelian adjoint group

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The Dehn Function of Baumslag’s Metabelian Group

A. Baumslag’s group is a finitely presented metabelian group with a Z ≀ Z subgroup. There is an analogue with an additional torsion relation in which this subgroup becomes Cm ≀ Z. We prove that Baumslag’s group has an exponential Dehn function. This contrasts with the torsion analogues which have quadratic Dehn functions. 2000 Mathematics Subject Classification: 20F65, 20F10

متن کامل

Homotopy Theory of Associative Rings

A kind of unstable homotopy theory on the category of associative rings (without unit) is developed. There are the notions of fibrations, homotopy (in the sense of Karoubi), path spaces, Puppe sequences, etc. One introduces the notion of a quasi-isomorphism (or weak equivalence) for rings and shows that similar to spaces the derived category obtained by inverting the quasiisomorphisms is natura...

متن کامل

Foxby Equivalence over Associative Rings

We extend the definition of a semidualizing module to associative rings. This enables us to define and study Auslander and Bass classes with respect to a semidualizing bimodule C. We then study the classes of C-flats, C-projectives, and C-injectives, and use them to provide a characterization of the modules in the Auslander and Bass classes. We extend Foxby equivalence to this new setting. This...

متن کامل

The Adjoint Representation in Rings of Functions

Let G be a connected, simple Lie group of rank n defined over the complex numbers. To a parabolic subgroup P in G of semisimple rank r, one can associate n−r positive integers coming from the theory of hyperplane arrangements (see P. Orlik and L. Solomon, Combinatorics and topology of complements of hyperplanes, Invent. Math. 56 (1980), 167-189; Coxeter arrangements, in Proc. of Symposia in Pur...

متن کامل

Metabelian Product of a Free Nilpotent Group with a Free Abelian Group

In the variety of all groups, A. I. Mal’cev [5] proved in 1949 that the free product of two residually torsion-free nilpotent groups is again residually torsion-free nilpotent. This paper is motivated by the analogous question in the variety of metabelian groups: can we determine whether free metabelian products of residually torsion-free nilpotent metabelian groups are residually torsion-free ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2004

ISSN: 0021-8693

DOI: 10.1016/s0021-8693(04)00132-2