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

Some commutativity theorems for rings with involution involving generalized derivations

2019 ◽  
Vol 12 (01) ◽  
pp. 1950001 ◽  
Author(s):  
My Abdallah Idrissi ◽  
Lahcen Oukhtite
Keyword(s):  
Generalized Derivation ◽  
Generalized Derivations ◽  
Prime Rings ◽  
Commutativity Theorems ◽  
Rings With Involution

Our purpose in this paper is to investigate commutativity of a ring with involution [Formula: see text] which admits a generalized derivation satisfying certain algebraic identities. Some well-known results characterizing commutativity of prime rings have been generalized. Moreover, we provide examples to show that the assumed restrictions cannot be relaxed.

On Automorphisms of Prime Rings with Involution

1997 ◽  
Vol 30 (2) ◽  
Author(s):  
L. A. Khan ◽  
A. B. Thaheem
Keyword(s):  
Prime Rings ◽  
Rings With Involution

On “On derivations and commutativity of prime rings with involution”

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Fuad Ali Ahmed Almahdi
Keyword(s):  
Prime Rings ◽  
Rings With Involution

AbstractIn this note, we indicate some errors in [S. Ali, N. A. Dar and M. Asci, On derivations and commutativity of prime rings with involution, Georgian Math. J. 23 2016, 1, 9–14] and present the correct versions of the erroneous results.

On Functional Identities in Prime Rings with Involution II*

2000 ◽  
Vol 28 (7) ◽  
pp. 3169-3183 ◽  
Author(s):  
K.I. Beidar ◽  
M. Brešar ◽  
M A. Chebotar ◽  
W S. Martindale
Keyword(s):  
Prime Rings ◽  
Functional Identities ◽  
Rings With Involution

On some identities in prime rings with involution

1993 ◽  
Vol 21 (12) ◽  
pp. 4679-4697
Author(s):  
Matej Brşr ◽  
W.S. Martindale ◽  
C. Robert Miers
Keyword(s):  
Prime Rings ◽  
Rings With Involution
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