An uncountable Noetherian ring with free additive group

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Countable Structure Does Not Have a Free Uncountable Automorphism Group

It is proved that the automorphism-group of a countable structure cannot be a free uncountable groupi. The idea is that instead proving that every countable set of equations of a certain form has a solution, we prove that this holds for a co-meagre family of appropriate countable sets of equations. Can a countable structure have an automorphism group, which a free uncountable group? This was a ...

متن کامل

Generating a Noetherian Normalization of the Invariant Ring of a Finite Group

We improve Kemper's algorithm for the computation of a Noetherian normalization of the invariant ring of a nite group. The new algorithm, which still works over arbitrary coeecient elds, no longer relies on algorithms for primary decomposition.

متن کامل

An Uncountable Family of Group Automorphisms, and a Typical Member

We describe an uncountable family of compact group automorphisms with entropy log 2. Each member of the family has a distinct dynamical zeta function, and the members are parametrised by a probability space. A positive proportion of the members have positive upper growth rate of periodic points, and almost all of them have an irrational dynamical zeta function. If infinitely many Mersenne numbe...

متن کامل

Free Groups and Subgroups of Finite Index in the Unit Group of an Integral Group Ring∗

In this article we construct free groups and subgroups of finite index in the unit group of the integral group ring of a finite non-abelian group G for which every non-linear irreducible complex representation is of degree 2 and with commutator subgroup G′ a central elementary abelian 2-group.

متن کامل

Finite Correspondence of Spectra in Noetherian Ring Extensions

Let R <-* S be an embedding of associative noetherian rings such that 5 is finitely generated as a right Ä-module. There is a correspondence from the prime spectrum of S to the prime spectrum of R obtained by associating to a given prime ideal P of S the prime ideals of R minimal over P n R . The prime and primitive ideal theories for several specific noncommutative noetherian rings, including ...

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: Proceedings of the American Mathematical Society

سال: 1977

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1977-0450426-2