A series of monomial pairings
A series of monomial pairings
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DOI：
10.1080/03081088408817582
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发表时间：
1984-05
影响因子：
1.1
通讯作者：
S. Yuzvinsky
中科院分区：
文献类型：
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作者：
S. Yuzvinsky
KY Lam和T. Y. Lam [I i]证明了这个条件在任何特征为0的域上仍然是必要的。J. Adem i2. 31对任意域F和min（m. n）< 3。在[131]中，这一结果被推广到了当min j in. n]及4. R的另一个必要条件可以在[12]中找到。J. Adem [1]研究了[p，p，p]-对（即赋范代数）的限制，但对n#p时[m，n，p]-对存在的充分条件知之甚少。在[12]中开发了更一般的方法。有些例子是在没有证据的情况下给出的。
KY Lam and T. Y. Lam [I i] proved that this cundition IS still necessary over any fieid of characteristic 0. J. Adem i2. 31 pruvcd this for an arbitrary fielil F and min (m. n)< 3. In [131 this result was extended to the case when min j in. n] & 4. Another necessary condition over R can be found in [12]. Even less is known about sufficient conditions for the existence of [m, n, p]-pairings when n# p. J. Adem [l] studied restrictions of [p, p, p]-pairings (that is normed algebras). A more general approach was developed in [12]. Some examples were given there without proof.