Maryam HAMIDIZADEH, Ebrahim HASHEMI, Armando REYES

3312

A CLASSIFICATION OF RING ELEMENTS IN SKEW PBW EXTENSIONS OVER COMPATIBLE RINGS

For a skew PBW extension over a right duo compatible ring, we characterize several kinds of their elements such as units, idempotent, von Neumann regular, $\pi$-regular and the clean elements. As a consequence of our treatment, we extend several results in the literature for Ore extensions and commutative rings. $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~$
Keywords:

Right duo ring, skew PBW extension, idempotent element unit element, von Neumann regular element, clean element,

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International Electronic Journal of Algebra-Cover
  • ISSN: 1306-6048
  • Yayın Aralığı: Yılda 2 Sayı
  • Başlangıç: 2007
  • Yayıncı: Abdullah HARMANCI
Arşiv
Sayıdaki Diğer Makaleler

Nico GROENEWALD

Ajim Uddin ANSARI, B. K. SHARMA, Shiv Datt KUMAR

Mohammad ABDULLA, Ayman BADAWI

Horst BRUNOTTE

L. OUKHTITE, H. EL MIR, B. NEJJAR

Gabriel PICAVET, Martine PICAVET-L'HERMITTE

Pierre LANDROCK

Maryam HAMIDIZADEH, Ebrahim HASHEMI, Armando REYES

Emil ILIC-GEORGIJEVIC

Konrad SCHREMPF