Semiprime CS group algebra of polycyclic-by-finite group without domains as summands is hereditary
نویسندگان
چکیده
منابع مشابه
Polycyclic-by-finite Group Algebras Are Catenary
We show that group algebras kG of polycyclic-by-finite groups G, where k is a field, are catenary: If P = I0 I1 · · · Im = P ′ and P = J0 J2 · · · Jn = P ′ are both saturated chains of prime ideals of kG, then m = n.
متن کاملPrime Ideals in Group Algebras Oe Polycyclic-by-finite Groups
Introduction Group algebras K[G] of poly cyclic-by-finite groups are easily-defined, interesting examples of right and left Noetherian rings. Since prime rings and prime ideals are the basic building blocks in the Goldie theory of Noetherian rings, the determination of the structure of the prime ideals of K[G] is certainly of importance. In a recent fundamental paper [8], Roseblade proved that ...
متن کاملK1 Group of Finite Dimensional Path Algebra
In this paper, by calculating the commutator subgroup of the unit group of finite path algebra k∆ and the unit group abelianized, we explicitly characterize the K1 group of finite dimensional path algebra over an arbitrary field.
متن کاملOn a Certain Lie Algebra Defined by a Finite Group
1. INTRODUCTION. Some years ago W. Plesken told the first author of a simple but interesting construction of a Lie algebra from a finite group. The authors posed themselves the question as to what the structure of this Lie algebra might be. In particular, for which groups does the construction produce a simple Lie algebra? The answer is given in the present paper; it uses some textbook results ...
متن کاملTHE ANALOGUE OF WEIGHTED GROUP ALGEBRA FOR SEMITOPOLOGICAL SEMIGROUPS
In [1,2,3], A. C. Baker and J.W. Baker studied the subspace Ma(S) of the convolution measure algebra M, (S) of a locally compact semigroup. H. Dzinotyiweyi in [5,7] considers an analogous measure space on a large class of C-distinguished topological semigroups containing all completely regular topological semigroups. In this paper, we extend the definitions to study the weighted semigroup ...
متن کاملذخیره 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: 2007
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2006.06.011