Daniel Birmajer

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math.RA2004

Polynomial Detection of Matrix Subalgebras

Daniel Birmajer

It was proved by Giambruno-Sehgal and Chang that the double Capelli polynomial of total degree $4 n$ is a polynomial identity for the algebra of n by n matrices over a field F. Usin…

math.RA2003

On subalgebras of $n \times n$ matrices not satisfying identities of degree $2 n - 2$

Daniel Birmajer

The Amitsur-Levitski theorem asserts that $M_{n} (F)$ satisfies a polynomial identity of degree $2 n$ . (Here, $F$ is a field and $M_{n} (F)$ is the algebra of $n \times n$ matrices over $…

Polynomial Detection of Matrix Subalgebras

On subalgebras of n×n matrices not satisfying identities of degree 2n−2

On subalgebras of $n \times n$ matrices not satisfying identities of degree $2 n - 2$