Geodesic
ORE EXTENSIONS OF WEAK ZIP RINGS*
Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 525-537

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we introduce the notion of weak zip rings and investigate their properties. We mainly prove that a ring R is right (left) weak zip if and only if for any n, the n-by-n upper triangular matrix ring Tn(R) is right (left) weak zip. Let α be an endomorphism and δ an α-derivation of a ring R. Then R is a right (left) weak zip ring if and only if the skew polynomial ring R[x; α, δ] is a right (left) weak zip ring when R is (α, δ)-compatible and reversible.
DOI : 10.1017/S0017089509005151
Mots-clés : Primary 16S36, Secondary 16S99 
OUYANG, LUNQUN. ORE EXTENSIONS OF WEAK ZIP RINGS*. Glasgow mathematical journal, Tome 51 (2009) no. 3, pp. 525-537. doi: 10.1017/S0017089509005151
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