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

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DOI

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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     author = {OUYANG, LUNQUN},
     title = {ORE {EXTENSIONS} {OF} {WEAK} {ZIP} {RINGS*}},
     journal = {Glasgow mathematical journal},
     pages = {525--537},
     year = {2009},
     volume = {51},
     number = {3},
     doi = {10.1017/S0017089509005151},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089509005151/}
}
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