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- 저자 : Nasr-Isfahani (검색결과 2 건)
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SKEW LAURENT POLYNOMIAL EXTENSIONS OF BAER AND P.P.-RINGS
Nasr-Isfahani, Alireza R.,Moussavi, Ahmad Korean Mathematical Society 2009 대한수학회보 Vol.46 No.6
Let R be a ring and ${\alpha}$ a monomorphism of R. We study the skew Laurent polynomial rings R[x, x$^{-1}$; ${\alpha}$] over an ${\alpha}$-skew Armendariz ring R. We show that, if R is an ${\alpha}$-skew Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x$^{-1}$; ${\alpha}$] is a Baer (resp. p.p.-) ring. Consequently, if R is an Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x$^{-1}$] is a Baer (resp. p.p.-)ring.
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Skew Laurent polynomial extensions of Baer and p.p.-rings
Alireza R. Nasr-Isfahani,Ahmad Moussavi 대한수학회 2009 대한수학회보 Vol.46 No.6
Let R be a ring and α a monomorphism of R. We study the skew Laurent polynomial rings R[x, x^(−1);α] over an α-skew Armendariz ring R. We show that, if R is an α-skew Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x^(−1);α] is a Baer (resp. p.p.-) ring. Consequently, if R is an Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x^(−1)] is a Baer (resp. p.p.-)ring. Let R be a ring and α a monomorphism of R. We study the skew Laurent polynomial rings R[x, x^(−1);α] over an α-skew Armendariz ring R. We show that, if R is an α-skew Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x^(−1);α] is a Baer (resp. p.p.-) ring. Consequently, if R is an Armendariz ring, then R is a Baer (resp. p.p.-)ring if and only if R[x, x^(−1)] is a Baer (resp. p.p.-)ring.
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