A COMMUTATIVITY THEOREM FOR RINGS

被引：0

作者：

KOMATSU, H ^{[1
]}

NISHINAKA, T ^{[1
]}

TOMINAGA, H ^{[1
]}

机构：

[1] OKAYAMA UNIV,DEPT MATH,OKAYAMA 700,JAPAN

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1991年 / 44卷 / 03期

关键词：

D O I：

10.1017/S0004972700029889

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the following theorem: Let R be a ring, l a positive integer, and n a non-negative integer. If for each x, y is-an-element-of R, either xy = yx or xy = x(n) f(y)x(l) for some f(X) is-an-element-of X2Z[X], then R is commutative.

引用

页码：387 / 389

页数：3

共 50 条

[21] ON THE COMMUTATIVITY OF DIFFERENTIAL RINGS
TRZEPIZUR, A
[J]. COMMUNICATIONS IN ALGEBRA, 1984, 12 (7-8) : 889 - 895
[22] On rings generalizing commutativity
Silvestrov, SD
[J]. CZECHOSLOVAK JOURNAL OF PHYSICS, 1998, 48 (11) : 1495 - 1500
[23] ON THE COMMUTATIVITY OF CERTAIN RINGS
FORSYTHE, A
MCCOY, NH
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (06) : 523 - 526
[24] COMMUTATIVITY IN FINITE RINGS
MACHALE, D
[J]. AMERICAN MATHEMATICAL MONTHLY, 1976, 83 (01): : 30 - 32
[25] On Commutativity of Rings With Derivations
Ashraf M.
Rehman N.-U.
[J]. Results in Mathematics, 2002, 42 (1-2) : 3 - 8
[26] Commutativity of rings with derivations
Andima, S.
Pajoohesh, H.
[J]. ACTA MATHEMATICA HUNGARICA, 2010, 128 (1-2) : 1 - 14
[27] Results on Commutativity of Rings
H.A.S.Abujabal
M.S.Khan
[J]. Journal of Mathematical Research with Applications, 1991, (04) : 497 - 500
[28] Commutativity of rings with derivations
S. Andima
H. Pajoohesh
[J]. Acta Mathematica Hungarica, 2010, 128 : 1 - 14
[29] A COMMUTATIVITY RESULT FOR RINGS
KLEIN, AA
NADA, I
[J]. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1986, 33 (03) : 359 - 362
[30] DERIVATIONS AND COMMUTATIVITY OF RINGS
CHUNG, LO
LUH, J
RICHOUX, AN
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1979, 80 (01) : 77 - 89

← 1 2 3 4 5 →