Search

Your search keyword '"SHULIANG HUANG"' showing total 2 results
Start Over Author "SHULIANG HUANG" Journal acta et commentationes universitatis tartuensis de mathematica
2 results on '"SHULIANG HUANG"'

1. Automorphisms with annihilator condition in prime rings

Author

Tarannum Bano, Nadeem ur Rehman, and Shuliang Huang

Subjects
Discrete mathematics, Combinatorics, Annihilator, Associated prime, General Mathematics, Prime ring, Ideal (ring theory), Automorphism, Commutative property, Prime (order theory), Mathematics
Abstract

Let R be a prime ring, I a nonzero ideal of R, and a ∈ R. Suppose that σ is a nontrivial automorphism of R such that a{(σ(x ∘ y))n − (x ∘ y)m} = 0 or a{(σ([x,y]))n − ([x,y])m} = 0 for all x,y ∈ I, where n and m are fixed positive integers. We prove that if char(R) > n + 1 or char(R) = 0, then either a = 0 or R is commutative.

Published
2015

2. Automorphisms with annihilator condition in prime rings.

Author

BANO, TARANNUM, SHULIANG HUANG, and REHMAN, NADEEM UR

Subjects
*AUTOMORPHISMS, *COMMUTATORS (Operator theory), *INTEGERS
Abstract

Let R be a prime ring, I a nonzero ideal of R, and a ε R. Suppose that σ is a nontrivial automorphism of R such that af{(σ(x 0 y))n - (x 0 y)m} = 0 or a{(σ([x; y]))n - ([x; y])m} = 0 for all x,y ε I, where n and m are fixed positive integers. We prove that if char(R) > n + 1 or char(R) = 0, then either a = 0 or R is commutative. [ABSTRACT FROM AUTHOR]

Published
2015
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results