Uriya A. First

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20162024

most citedOn the number of generators of a separable algebra over a finite field

1 citations · 1 across the 3 of their papers we have counts for

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math.RA2024

Spaces of Generators for Azumaya Algebras with Unitary Involution

Omer Cantor, Uriya A. First

Let $A$ be a finite dimensional algebra (possibly with some extra structure) over an infinite field $K$ and let $r \in N$ . The $r$ -tuples $(a_{1}, \dots, a_{r}) \in A^{r}$ which fail…

math.RA2020

On the number of generators of an algebra over a commutative ring

Uriya A. First, Zinovy Reichstein, Ben Willams

A theorem of O. Forster says that if $R$ is a noetherian ring of Krull dimension $d$ , then any projective $R$ -module of rank $n$ can be generated by $d + n$ elements. S. Chase and R.…