The Hochschild Cohomology Ring of a One Point Extension
The Hochschild Cohomology Ring of a One Point Extension
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DOI：
10.1081/agb-120016764
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发表时间：
2003-01
影响因子：
0.7
通讯作者：
E. Green;E. Marcos;N. Snashall
中科院分区：
文献类型：
--
作者：
E. Green;E. Marcos;N. Snashall
本文研究了代数的Hochschild上同调环的环结构。第一个主要结果给出了从代数A的Hochschild上同调环到A-模的Ext-代数的环同态。然后，对有限维代数A的一点扩张B，将A和B的Hochschild上同调环的环结构联系起来，从而给出了在Hochschild上同调环上构造具有非平凡环结构的代数的方法.
Abstract This paper studies the ring structure of the Hochschild cohomology ring of an algebra. The first main result gives a ring homomorphism from the Hochschild cohomology ring of an algebra A to the Ext-algebra of an A-module. Then, for a one point extension B of a finite dimensional algebra A, we relate the ring structures of the Hochschild cohomology rings of A and B thus giving a method of constructing algebras with non-trivial ring structure on the Hochschild cohomology ring.