ORE EXTENSIONS OF WEAK ZIP RINGS
2009 ◽
Vol 51
(3)
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pp. 525-537
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Keyword(s):
Zip Ring
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AbstractIn 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.
2019 ◽
Vol 19
(03)
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pp. 2050053
2016 ◽
Vol 15
(07)
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pp. 1650121
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2009 ◽
Vol 51
(3)
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pp. 425-440
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Keyword(s):
2019 ◽
Vol 18
(05)
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pp. 1950096
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2004 ◽
Vol 70
(2)
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pp. 279-282
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