scholarly journals Commutativity theorems for groups and semigroups

2018 ◽  
Vol 74 (3) ◽  
pp. 243-255 ◽  
Author(s):  
Francisco Araújo ◽  
Michael Kinyon
Keyword(s):  
Commutativity Theorems

scholarly journals An iteration technique and commutativity of rings

1990 ◽  
Vol 13 (2) ◽  
pp. 315-319
Author(s):  
H. A. S. Abujabal ◽  
M. S. Khan
Keyword(s):  
Commutativity Theorems ◽  
Iteration Technique

Through much shorter proofs, some new commutativity theorems for rings with unity have been obtained. These results either extend or generalize a few well-known theorems. Our method of proof is based on an iteration technique.

scholarly journals A commutativity theorem for lefts-unital rings

1990 ◽  
Vol 13 (4) ◽  
pp. 769-774
Author(s):  
Hamza A. S. Abujabal
Keyword(s):  
Commutativity Theorem ◽  
Unital Ring ◽  
Commutativity Theorems ◽  
Associative Rings ◽  
Unital Rings

In this paper we generalize some well-known commutativity theorems for associative rings as follows: LetRbe a lefts-unital ring. If there exist nonnegative integersm>1,k≥0, andn≥0such that for anyx,yinR,[xky−xnym,x]=0, thenRis commutative.

scholarly journals ON COMMUTATIVITY OF ONE-SIDED $s$-UNITAL RINGS

1992 ◽  
Vol 23 (3) ◽  
pp. 253-268
Author(s):  
H. A. S. ABUJABAL ◽  
M. A. KHAN ◽  
M. S. SAMMAN
Keyword(s):  
Commutativity Theorems ◽  
Unital Rings

In the present paper, we study the commutativity of one sided s-unital rings satisfying conditions of the form $[x^r y\pm x^ny^mx^s,x]= 0 = [x^ry^m\pm x^ny^{m^2}x^s, x]$, or $[yx^r\pm x^ny^mx^s, x] = 0 = [y^mx^r\pm x^ny^{m^2}x^s, x]$ for each $x$,$y \in R$, where $m = m(y) > 1$ is an integer depending on $y$ and $n$, $r$ and $s$ are fixed non-negative integers. Other commutativity theorems are also obtained. Our results generalize·some of the well-known commutativity theorems for rings.

Commutativity theorems

1994 ◽  
pp. 69-88 ◽  
Keyword(s):  
Commutativity Theorems

scholarly journals Commutativity theorems for prime rings with generalized derivations on Jordan ideals

2015 ◽  
Vol 9 (3) ◽  
pp. 314-319 ◽  
Author(s):  
L. Oukhtite ◽  
A. Mamouni
Keyword(s):  
Generalized Derivations ◽  
Prime Rings ◽  
Commutativity Theorems

Some Commutativity Theorems in Prime Rings with Involution and Derivations

2017 ◽  
Vol 24 (5) ◽  
pp. 1-6 ◽  
Author(s):  
Shakir Ali ◽  
Husain Alhazmi
Keyword(s):  
Prime Rings ◽  
Commutativity Theorems ◽  
Rings With Involution

scholarly journals Commutativity theorems for rings with polynomial constraints on certain subsets

1991 ◽  
Vol 43 (3) ◽  
pp. 451-462 ◽  
Author(s):  
Hiroaki Komatsu ◽  
Hisao Tominaga
Keyword(s):  
Commutativity Theorems ◽  
Unital Rings ◽  
Polynomial Constraints

We prove several commutativity theorems for unital rings with polynomial constraints on certain subsets, which improve and generalise the recent results of Grosen, and Ashraf and Quadri.

Some commutativity theorems for rings and near rings

1976 ◽  
Vol 28 (1-2) ◽  
pp. 19-23 ◽  
Author(s):  
S. Ligh ◽  
J. Luh
Keyword(s):  
Commutativity Theorems

scholarly journals Commutativity theorems for normaloid Hilbert space operators

2015 ◽  
Vol 429 (1) ◽  
pp. 175-183
Author(s):  
B.P. Duggal
Keyword(s):  
Hilbert Space ◽  
Commutativity Theorems ◽  
Hilbert Space Operators

scholarly journals Commutativity theorems for nonassociative rings with a finite division ring homomorphic image

1968 ◽  
Vol 27 (2) ◽  
pp. 325-332 ◽  
Author(s):  
Eugene Johnsen ◽  
David Outcalt ◽  
Adil Yaqub
Keyword(s):  
Homomorphic Image ◽  
Division Ring ◽  
Commutativity Theorems
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