ON MULTIPLICATIVE (GENERALIZED)-DERIVATIONS IN SEMIPRIME RINGS

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Atıf İçin Kopyala

KARALARLIOĞLU CAMCI D., AYDIN N.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.1, ss.153-164, 2017 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 66 Sayı: 1
• Basım Tarihi: 2017
• Doi Numarası: 10.1501/commual_0000000784
• Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.153-164
• Çanakkale Onsekiz Mart Üniversitesi Adresli: Evet

Özet

In this paper, we study commutativity of a prime or semiprime ring using a map F : R -> R, multiplicative (generalized) -derivation and a map H : R -> R, multiplicative left centralizer, under the following conditions: For all x,y is an element of R, i) F(xy) +/- H(xy) = 0, ii) F(xy) +/- H(yx) = 0, iii) F(x)F(y) +/- H(xy) = 0, iv) F(xy) +/- H(xy) is an element of Z, v) F(xy) +/- H(yx) is an element of Z, vi) F(x)F(y) +/- H(xy) is an element of Z.