Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
28
1
1986
On periodic rings and related rings
EN
Howard E.
Bell
Hisao
Tominaga
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
37
1
1995
Generalized n-Potent Rings
EN
Howard E.
Bell
Hal G.
Moore
Adil
Yaqub
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
40
1
1998
Nilpotent Derivations and Commutativity
EN
Howard E.
Bell
Abraham A.
Klein
Jason
Lucier
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
41
1
1999
Higher Derivatives and Finiteness in Rings
EN
Howard E.
Bell
<p><p>Let n be a positive integer, R a prime ring, U a nonzero right ideal, and d a derivation on R. Under appropriate additional　hypotheses, we prove that if d<sup>n</sup>(U) is finite, then either R is finite or d is nilpotent. We also provide an extension to semiprime rings.</p></p>
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
35
1
1993
On Finiteness, Commutativity, and Periodicity in Rings
EN
Howard E.
Bell
Abraham A.
Klein
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
27
1
1985
On commutativity and structure of periodic rings
EN
Howard E.
Bell
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
29
1
1987
Some periodicity conditions for rings
EN
Howard E.
Bell
Adil
Yaqub
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
31
1
1989
Some Decomposition Theorems for Periodic Rings and Near-Rings
EN
Howard E.
Bell
Steve
Ligh
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
34
1
1992
On Derivations in Near-rings and Rings
EN
Howard E.
Bell
Gordon
Mason
No potential conflict of interest relevant to this article was reported.
Department of Mathematics, Faculty of Science, Okayama University
Acta Medica Okayama
0030-1566
49
1
2007
Generalized Derivations with Commutativity and Anti-commutativity Conditions
EN
Howard E.
Bell
Nadeem-ur
Rehman
<p>Let R be a prime ring with 1, with char(R) ≠ 2; and let F : R → R be a generalized derivation. We determine when one of the following holds for all x,y ∈ R: (i) [F(x); F(y)] = 0; (ii) F(x)ΟF(y) = 0;
(iii) F(x) Ο F(y) = x Ο y .</p>
No potential conflict of interest relevant to this article was reported.