Paperback. This work investigates various types of derivations in prime and semi prime associative rings, particularly focusing on Jordan generalized reverse derivations and left generalized derivations. Notable contributions from mathematicians like E.C. Posner and I.N. Herstein and C. Jaya Subba Reddy have advanced the field significantly. The research presents new findings on lie ideals, symmetric reverse bi-derivations, and the commutativity of left generalized derivations. Specific results include demonstrating conditions under which Generalized (s, t) - Derivations in rings, and proving commutativity in rings with certain derivation properties. The study also explores the properties of prime and semi prime rings under these derivations, providing detailed proofs and extending previous results in the literature. Definitions of key terms such as commutator, anti-commutator, prime ring, semi prime ring, and various types of derivations are included to clarify the theoretical framework. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Generalized (, )-Derivations in Rings (Paperback)
Publisher: LAP Lambert Academic Publishing
Publication Date: 2026
Language: English
ISBN 10: 6630051548
ISBN 13: 9786630051544
Binding: Paperback
Condition: new

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This work investigates various types of derivations in prime and semi prime associative rings, particularly focusing on Jordan generalized reverse derivations and left generalized derivations. Notable contributions from mathematicians like E.C. Posner and I.N. Herstein and C. Jaya Subba Reddy have advanced the field significantly. The research presents new findings on lie ideals, symmetric reverse bi-derivations, and the commutativity of left generalized derivations. Specific results include demonstrating conditions under which Generalized (σ, τ) - Derivations in rings, and proving commutativity in rings with certain derivation properties. The study also explores the properties of prime and semi prime rings under these derivations, providing detailed proofs and extending previous results in the literature. Definitions of key terms such as commutator, anti-commutator, prime ring, semi prime ring, and various types of derivations are included to clarify the theoretical framework.

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