Polynomes de ore, series formelles tordues et anneaux filters complets herediataires

Polynomes de ore, series formelles tordues et anneaux filters complets herediataires
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Polynomes de ore、系列 forelles tordues 和 anneaux 过滤器完整遗传

DOI:
10.1080/00927878008822463
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发表时间:
1980
影响因子:
0.7
通讯作者:
E. Wexler
E. Wexler
中科院分区:
数学3区
文献类型:
--
作者:
E. Wexler

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矿区扩展A [t];半简单artinian环a的τ, δ]是正确的遗传,即使环单态τ不是满射(th)。2.1)。如果δ = 0,则R是斜幂级数环的相关梯度环,因此我们研究了在完全滤波环a上的滤除模,在滤除的a -模的范畴中,对于某一族的表态,滤除的滤除模是射影的,我们称之为f射影(§§3,4)。半单环上的斜幂级数环是右f-遗传的,即每一个右理想都是f-投影的。4.5)。
The Ore extension A [t ; τ, δ] of a semi-simple artinian ring A ,with , is right hereditary, even if the ring monomorphism τ is not surj ective (th . 2.1) . If δ = 0, then R is the associated graded ring of the skew power series ring , so we are led to study fil tered modules over a complete filtered ring A , with decreasing filtrations, which are projective, with respect of a certain family of epimorphisms , in the category of filtered A-modules, which we call f-projective (§§3,4). The skew power series ring over a semisimple artinian ring is right f-hereditary, i.e. every right ideal is f-projective (th. 4.5).
半单 Artinain 环上的部分偏斜多项式环
DOI: --
发表时间: --
期刊: Comm. in Algebra (to appear)
影响因子: --
作者:
W.Cortes;M.Ferrero;Y.Hirano;H.Marubayashi
通讯作者: H.Marubayashi