On a commutativity theorem for semi-simple rings

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

A Commutativity Theorem for Associative Rings

Let m > 1; s 1 be xed positive integers, and let R be a ring with unity 1 in which for every x in R there exist integers p = p(x) 0; q = q(x) 0;n = n(x) 0; r = r(x) 0 such that either x p x n ; y]x q = x r x; y m ]y s or x p x n ;y]x q = y s x; y m ]x r for all y 2 R. In the present paper it is shown that R is commutative if it satisses the property Q(m) (i.e. for all x; y 2 R;mx; y] = 0 implie...

متن کامل

A COMMUTATIVITY CONDITION FOR RINGS

In this paper, we use the structure theory to prove an analog to a well-known theorem of Herstein as follows: Let R be a ring with center C such that for all x,y ? R either [x,y]= 0 or x-x [x,y]? C for some non negative integer n= n(x,y) dependingon x and y. Then R is commutative.

متن کامل

A GENERALIZATION OF A JACOBSON’S COMMUTATIVITY THEOREM

In this paper we study the structure and the commutativity of a ring R, in which for each x,y ? R, there exist two integers depending on x,y such that [x,y]k equals x n or y n.

متن کامل

a commutativity condition for rings

in this paper, we use the structure theory to prove an analog to a well-known theorem of herstein as follows: let r be a ring with center c such that for all x,y ? r either [x,y]= 0 or x-x [x,y]? c for some non negative integer n= n(x,y) dependingon x and y. then r is commutative.

متن کامل

On Commutativity of Semiperiodic Rings

Let R be a ring with center Z, Jacobson radical J , and set N of all nilpotent elements. Call R semiperiodic if for each x ∈ R\ (J ∪Z), there exist positive integers m, n of opposite parity such that x − x ∈ N . We investigate commutativity of semiperiodic rings, and we provide noncommutative examples. Mathematics Subject Classification (2000). 16U80.

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: Bulletin of the Australian Mathematical Society

سال: 1985

ISSN: 0004-9727,1755-1633

DOI: 10.1017/s0004972700009321