Standard basis in the T-ideal formed by polynomial identities of triangular matrices
We give the definition of a standard basis of a T -ideal of the free associative algebra over a field of zero characteristic and indicate some basis called canonical in the linear space of n -linear forms. Using this basis, we construct a standard basis in the T -ideal of identities satisfied by the...
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Veröffentlicht in: | Journal of mathematical sciences (New York, N.Y.) N.Y.), 2011-09, Vol.177 (6), p.908-914 |
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Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | We give the definition of a standard basis of a
T
-ideal of the free associative algebra over a field of zero characteristic and indicate some basis called canonical in the linear space of
n
-linear forms. Using this basis, we construct a standard basis in the
T
-ideal of identities satisfied by the algebra of upper triangular (
n × n
)-matrices. |
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ISSN: | 1072-3374 1573-8795 |
DOI: | 10.1007/s10958-011-0518-0 |