arXiv subjects

Shmuel Rosset

Publications and source records attributed to Shmuel Rosset.

2 recordsLinked to original sources

arXiv2020

Non cyclic division algebras of prime degree

This paper shows that $p$ primary components of certain generic crossed products are not crossed products. This applies in particular to primary components of prime degree, thus producing examples of division algebras of prime degree that are not cyclic.

math.RA↗

arXiv1996

Some non-finitely presented Lie Algebras

Let $L$ be a free Lie algebra over a field $k$, $I$ a non-trivial proper ideal of $L$, $n>1$ an integer. The multiplicator $H_2(L/I^n,k)$ of $L/I^n$ is not finitely generated, and so in particular, $L/I^n$ is not finitely presented, even when $L/I$ is finite dimensional.

math.GR↗