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Differential Identities in Rings and Algebras and their Applications
Shakir Ali, Mohammad Ashraf, Vincenzo De Filippis, Lahcen Oukhtite, Nadeem Ur Rehman
Page: 416
Format: pdf, ePub, mobi, fb2
ISBN: 9781032811529
Publisher: CRC Press
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The theory of differential identities in associative rings and algebras is the basis of this monograph. Informally, an identical relation involving arbitrary elements in the underlying rings (or algebras) along with the unknown differential function is called a differential identity in a ring (or algebra). Invariant theory, non-commutative geometry, mathematical physics, and the theory of rings and algebras are just a few of the fields where this abstract theory has proved to be an effective instrument for solving a wide range of challenging issues, and as the twenty-first century has arrived, the theory of differential identities has found enormous applications in resolving a number of unresolved problems in the theory of rings.
This volume summarizes the findings and approaches that have significantly advanced the field during the previous three decades. The first chapter provides a brief introduction to the topic. The following three chapters cover the various kinds of derivations in rings and algebras as well as the interactions between the structure of some classes of rings with involution and the behavior of the underlying derivations, generalized derivations, skew derivations, and b-generalized derivations, as well as their corresponding properties. Chapter 5 explores the characterization of several kinds of higher derivable mappings and the structure of Lie and Jordan-type higher derivations. Although the book contains numerous applications
•f the conclusions presented in these chapters, the last chapter mostly focuses on the application of derivations.
This research monograph is useful for researchers working in the area of differential identities in rings and algebras. It provides a comprehensive and authoritative account of research findings.
Differential Identities in Rings and Algebras and their Applications
In this overview article, we provide a historical account on derivations, Jordan derivations, (α, β)-derivations, left derivations, .
Differential Identities in Rings and Algebras and their Applications -
This research monograph is useful for researchers working in the area of differential identities in rings and algebras.
Differential Identities in Rings and Algebras and their Applications |
The theory of differential identities in associative rings and algebras is the basis of this monograph. Informally, an identical relation involving arbitrary .
Differential Identities in Rings and Algebras and their Applications
The theory of differential identities in associative rings and algebras is the basis of this monograph. Informally, an identical relation involving .
Differential Identities in Rings and Algebras and Their Applications .
The theory of differential identities in associative rings and algebras is the basis of this monograph. This research monograph is useful for researchers .
Differential Identities in Rings and Algebras and their Applications 1 .
The theory of differential identities in associative rings and algebras is the basis of this monograph. Informally, an identical relation involving .
Differential Identities in Rings and Algebras and their Applications
Differential Identities in Rings and Algebras and their Applications. by Shakir Ali; Mohammad Ashraf; Vincenzo De Filippis; Lahcen Oukhtite; .
Differential Identities in Rings and Algebras and their Applications .
Differential Identities in Rings and Algebras and their Applications 1st Edition is written by Shakir Ali; Mohammad Ashraf; Vincenzo De Filippis; Lahcen .
Differential Identities in Rings and Algebras and their Applications
This research monograph is useful for researchers working in the area of differential identities in rings and algebras.