Prime Rings with Involution Equipped with Some New Product

2003 ◽  
Vol 26 (1) ◽  
pp. 27-31 ◽  
Author(s):  
Maja Fo?ner
1997 ◽  
Vol 30 (2) ◽  
Author(s):  
L. A. Khan ◽  
A. B. Thaheem

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Fuad Ali Ahmed Almahdi

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.


2000 ◽  
Vol 28 (7) ◽  
pp. 3169-3183 ◽  
Author(s):  
K.I. Beidar ◽  
M. Brešar ◽  
M A. Chebotar ◽  
W S. Martindale

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

2017 ◽  
Vol 16 (04) ◽  
pp. 1750075 ◽  
Author(s):  
Abdellah Mamouni ◽  
Lahcen Oukhtite ◽  
Badr Nejjar

The aim of this paper is to give a complete description of ∗-mappings. Indeed, we define and study a more general class of semiderivations (respectively generalized semiderivations), that we call ∗-semiderivations (respectively ∗-generalized semiderivations). In particular, we prove that for the prime rings with involution, these new definitions coincide with the classical definitions of semiderivations and generalized semiderivations, respectively.


2021 ◽  
Vol 7 (2) ◽  
pp. 2413-2426
Author(s):  
Mohd Arif Raza ◽  
◽  
Abdul Nadim Khan ◽  
Husain Alhazmi ◽  

<abstract><p>In this note, we characterize $ b- $generalized derivations which are strong commutative preserving (SCP) on $ \mathscr{R} $. Moreover, we also discuss and characterize $ b- $generalized derivations involving certain $ \ast- $differential/functional identities on rings possessing involution.</p></abstract>


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