RESULTS ON alpha-*CENTRALIZERS OF PRIME AND SEMIPRIME RINGS WITH INVOLUTION

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Atıf İçin Kopyala

KOÇ E., GÖLBAŞI Ö.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.66, sa.1, ss.172-178, 2017 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 66 Sayı: 1
• Basım Tarihi: 2017
• Doi Numarası: 10.1501/commual_0000000786
• 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.172-178
• Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

Let R be a prime or semiprime ring equipped with an involution * and alpha be an automorphism of R. An additive mapping T : R -> R is called a left (resp. right) alpha(-)*centralizer of R if T (xy) = T (x)alpha (y*) (resp. T (xy) = alpha(x*)T (y)) holds for all x,y is an element of R, where a is an endomorphism of R. A left (resp. right) Jordan alpha-*centralizer T : R -> R is an additive mapping such that T (x(2)) = T (x)alpha(x*) (resp. T (x(2)) = alpha(x*)T (x)) holds for all x is an element of R. In this paper, we obtain some results about Jordan a-*centralizer of R with involution.