Relative Homological Algebra

Relative Homological Algebra
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DOI:
10.1515/9783110803662
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发表时间:
2000-03
期刊:
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影响因子:
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通讯作者:
E. Enochs;Overtoun M. G. Jenda
E. Enochs;Overtoun M. G. Jenda
中科院分区:
其他
文献类型:
--
作者:
E. Enochs;Overtoun M. G. Jenda

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本文研究了相对内射和投射余模类,推广了文[7]中关于投射余模的著名结果。还研究了这类余模的覆盖和包络的存在性,并用来刻画余代数的投射维数。我们还比较了这个同调余代数与非常深入研究的同调代数的对偶代数(见[5])。
We study classes of relative injective and projective comodules and extend well-known results about projective comodules given in [7]. The existence of covers and envelopes by these classes of comodules is also studied and used to characterize the projective dimension of a coalgebra. We also compare this homological coalgebra with the very intensively studied homological algebra of the dual algebra (see [5]).