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
1. Verfasser: Latyshev, V. N.
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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0518-0