The Commutativity of a *-Ring with Generalized Left *-α-Derivation - Advances in Pure Mathematics

APM > Vol.8 No.2, February 2018

Advances in Pure Mathematics

Volume 8, Issue 2 (February 2018)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

The Commutativity of a *-Ring with Generalized Left *-α-Derivation ()

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Download as PDF (Size: 258KB) PP. 168-177

DOI: 10.4236/apm.2018.82009 811 Downloads 1,789 Views

Author(s)

Ahmet Oğuz Balcı¹, Neşet Aydin¹, Selin Türkmen²

Affiliation(s)

¹Department of Mathematics, Faculty of Arts and Sciences, Çanakkale Onsekiz Mart University, Çanakkale, Turkey.
²Lapseki Vocational School, Çanakkale Onsekiz Mart University, Çanakkale, Turkey.

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

*-Ring, Prime *-Ring, Generalized Left *-α-Derivation, Generalized *-α-Derivation

Share and Cite:

Balcı, A. , Aydin, N. and Türkmen, S. (2018) The Commutativity of a *-Ring with Generalized Left *-α-Derivation. Advances in Pure Mathematics, 8, 168-177. doi: 10.4236/apm.2018.82009.

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