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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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참고문헌 (20)
참고문헌 신청
A. Moussavi / 2006 / Semiprime skew polynomial rings / Sci. Math. Jpn 64 (1) : 91 ~ 95
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Y. Hong / 2000 / Ore extensions of Baer and p.p.-rings / J. Pure Appl. Algebra 151 (3) : 215 ~ 226
C. Y. Hong / 2003 / On skew Armendariz rings / Comm. Algebra 31 (1) : 103 ~ 122
D. A. Jordan / 1982 / Bijective extensions of injective ring endomorphisms / J. London Math. Soc 25 (3) : 435 ~ 448
C. Huh / 2002 / Armendariz rings and semicommutative rings / Comm. Algebra 30 (2) : 751 ~ 761
C. Y. Hong / 2000 / Ore extensions of Baer and p.p.-rings / J. Pure Appl. Algebra 151 (3) : 215 ~ 226
C. Y. Hong / 2003 / On skew Armendariz rings / Comm. Algebra 31 (1) : 103 ~ 122
D. A. Jordan / 1982 / Bijective extensions of injective ring endomorphisms / J. London Math. Soc 25 (3) : 435 ~ 448
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