Trivial Extensions of Abelian Categories

Trivial Extensions of Abelian Categories
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DOI:
10.1007/bfb0065404
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发表时间:
1975
期刊:
影响因子:
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通讯作者:
R. Fossum;P. Griffith;I. Reiten
R. Fossum;P. Griffith;I. Reiten
中科院分区:
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文献类型:
--
作者:
R. Fossum;P. Griffith;I. Reiten

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双模对环的平凡扩张或分裂扩张的概念在代数的各个部分都扮演着重要的角色。然而,在大多数情况下,它是从头开始引入的,然后在考虑到特定目的的情况下使用。无意全面,我们提到了这个结构的一些重要应用。
The notion of the trivial or split extension of a ring by a bimodule has played an important role in various parts of algebra. In most cases, however, it is introduced ab initio and then used with a particular purpose in mind. With no intention of being comprehensive, we mention some important applications of this construction.