EXTENSIONS OF Σ-ZIP RINGS
t. In this note we consider a new concept, so called Σ-zip ring, which
unifies zip rings and weak zip rings. We observe the basic properties of Σ-zip
rings, constructing typical examples. We study the relationship between the
Σ-zip property of a ring R and that of its Ore extensions and skew generalized
power series extensions. As a consequence, we obtain a generalization of several
known results relating to zip rings and weak zip rings.
Keywords:
Σ-zip ring, Ore extension,
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- ISSN: 1306-6048
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2007
- Yayıncı: Abdullah HARMANCI