Simple rings of characteristic not 2 with associators in the left nucleus are associative

Chen-Te Yen

doi:10.5556/j.tkjm.33.2002.309

PDF

Published: Mar 31, 2002

DOI: https://doi.org/10.5556/j.tkjm.33.2002.309

Chen-Te Yen

Abstract

We prove that if $ R $ is a simple ring of characteristic not 2 with associators in the left nucleus then $ R $ is associative. This extends our previous result [2].

How to Cite

Yen, C.-T. (2002). Simple rings of characteristic not 2 with associators in the left nucleus are associative. Tamkang Journal of Mathematics, 33(1), 93–95. https://doi.org/10.5556/j.tkjm.33.2002.309

Issue

Vol. 33 No. 1 (2002)

Section

Papers

Author Biography

Chen-Te Yen

Department of Mathematics, Chung Yuan Christian University, Chung Li, Taiwan, 320, Republic of China.

Most read articles by the same author(s)

Chen-Te Yen, Rings with generalized commutators in the nuclei , Tamkang Journal of Mathematics: Vol. 33 No. 4 (2002)
CHEN-TE YEN, PRIME NONASSOCIATIVE RINGS WITH SKEW DERIVATIONS , Tamkang Journal of Mathematics: Vol. 28 No. 4 (1997)
CHEN-TE YEN, RINGS WITH A JORDAN DERIVATION WHOSE IMAGE IS CONTAINED IN THE NUCLEI OR COMMUTATIVE CENTER , Tamkang Journal of Mathematics: Vol. 27 No. 3 (1996)
IRVIN ROY HENTZEL, CHEN-TE YEN, RINGSWITH (R,R,R)AND [R,(R,R,R)] IN THE LEFT NUCLEUS , Tamkang Journal of Mathematics: Vol. 27 No. 2 (1996)
CHEN-TE YEN, RINGS WITH A DERIVATION WHOSE IMAGE IS ZERO ON THE ASSOCIATORS , Tamkang Journal of Mathematics: Vol. 26 No. 1 (1995)
CHEN-TE YEN, NONASSOCIATIVE RINGS WITH A SPECIAL DERIVATION , Tamkang Journal of Mathematics: Vol. 26 No. 3 (1995)
CHEN-TE YEN, A CONDITION FOR SIMPLE RING IMPLYING FIELD II , Tamkang Journal of Mathematics: Vol. 25 No. 2 (1994)
CHEN-TE YEN, RINGS WITH A DERIVATION WHOSE IMAGE IS CONTAINED IN THE NUCLEI , Tamkang Journal of Mathematics: Vol. 25 No. 4 (1994)
CHEN-TE YEN, RINGS WITH $(R,R,R)$ AND $((R,R,R),R)$ IN THE LEFT NUCLEUS , Tamkang Journal of Mathematics: Vol. 24 No. 2 (1993)
CHEN-TE YEN, ON RINGS SATISFYING BOTH OF 1-abc AND 1-cba BEING INVERTIBLE OR NONE , Tamkang Journal of Mathematics: Vol. 24 No. 3 (1993)

1 2 > >>

Article Sidebar

Main Article Content

Abstract

Article Details

Chen-Te Yen

Most read articles by the same author(s)