☰ Category

k-Derivations and k-Homomorphisms of Gamma Rings

 

Marketed By :  LAP LAMBERT Academic Publishing   Sold By :  Kamal Books International  
Delivery in :  10-12 Business Days

 

Check Your Delivery Options

Product Out of Stock Subscription

(Notify me when this product is back in stock)

Rs. 4,396

Availability: Out of stock

 
  • Product Description
 

The notion of a gamma ring is a generalization of the concept of a classical ring. This attempt characterizes certain gamma rings with various types of k-derivations and k-homomorphisms. We determine the commutativity of prime gamma rings of characteristic not equal to 2 and 3 with k-derivations, left (and right) k-derivations and generalized k-derivations. We prove that every Jordan k-derivation (also, Jordan generalized k-derivation) of a gamma ring is a k-derivation (generalized k-derivation) of the same, if we consider the gamma ring as a (2-torsion free) prime, completely prime, semiprime, and completely semiprime gamma ring, under some suitable conditions (as necessary), respectively. On the other hand, we prove that every Jordan k-homomorphism of a gamma ring onto a 2-torsion free prime (also, completely prime) gamma ring is either a k-homomorphism or an anti-k-homomorphism. The analogous result is also proved for Jordan k-isomorphism of a gamma ring onto a 2-torsion free prime/completely prime gamma ring. Finally, we investigate what does happen if a k-derivation acts as a k-endomorphism and also as an anti-k-endomorphism of certain gamma rings and look what we have here.

Product Specifications
SKU :COC24502
AuthorSujoy Chakraborty and Akhil Chandra Paul
LanguageEnglish
BindingPaperback
Number of Pages128
Publishing Year2012-09-07T00:00:00.000
ISBN978-3659178399
Edition1 st
Book TypeMathematics
Country of ManufactureIndia
Product BrandLAP LAMBERT Academic Publishing
Product Packaging InfoBox
In The Box1 Piece
Product First Available On ClickOnCare.com2015-07-28 00:00:00
0 Review(s)