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The Commutativity of a *-Ring with Generalized Left *-α-Derivation
Department of Mathematics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Department of Mathematics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Lapseki Vocational School, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 1 Department of Mathematics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 2 Department of Mathematics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 3 Lapseki Vocational School, Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Advances in Pure Mathematics·Volume 08 (2018)·Pages 168–177·Published 24 February 2018·DOI10.4236/apm.2018.82009
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Abstract
In this paper, it is defined that left *- α -derivation, generalized left * - α -derivation and * - α -derivation, generalized * - α -derivation of a * -ring where α is a homomorphism. The results which proved for generalized left * -derivation of R in [1] are extended by using generalized left * - α -derivation. The commutativity of a * -ring with generalized left * - α -derivation is investigated and some results are given for generalized * - α -derivation.
Keywords*-RingPrime *-RingGeneralized Left *-α-DerivationGeneralized *-α-Derivation
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