Gendo-symmetric algebras, canonical comultiplication, bar cocomplex and dominant dimension
Gendo-symmetric algebras, canonical comultiplication, bar cocomplex and dominant dimension
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DOI：
10.1090/tran/6504
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发表时间：
2015-10
影响因子：
1.3
通讯作者：
M. Fang;S. Koenig
中科院分区：
文献类型：
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作者：
M. Fang;S. Koenig
对于对称代数上的生成子的每一个自同态代数A，首先构造一个正则乘法（可能不带可数），然后构造一个bar协复数。代数A以这些数据的存在为特征。A的主导维数是由协络合物的初始项的精确性决定的。
To each endomorphism algebra A of a generator over a symmetric algebra, first a canonical comultiplication (possibly without a counit) is constructed and then a bar cocomplex. The algebras A are characterised by the existence of these data. The dominant dimension of A is shown to be determined by the exactness of the cocomplex at its beginning terms.