Extensions of Rings Having McCoy Condition

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Atıf İçin Kopyala

Kosan M. T.

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, cilt.52, sa.2, ss.267-272, 2009 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 52 Sayı: 2
• Basım Tarihi: 2009
• Doi Numarası: 10.4153/cmb-2009-029-5
• Dergi Adı: CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.267-272
• Gazi Üniversitesi Adresli: Hayır

Özet

Let R be an associative ring with unity. Then R is said to be a right McCoy ring when the equation f(x)g(x) = 0 (over R[x]), where 0 not equal f (x), g(x) is an element of R[x],implies that there exists a nonzero element c is an element of R such that f(x)c = 0. In this paper, we characterize some basic ring extensions of right McCoy rings and we prove that if R is a right McCoy ring, then R[x]/(x(n)) is a right McCoy ring for any positive integer n >= 2.