Arvid Siqveland

activity

20062026

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3 papers · 1 filter

math.AG2024

Schemes of Associative Algebras

Arvid Siqveland

We give a definition of associative schemes, schemes of associative rings, over a field $k,$ using the definition of completion of an associative $k$ -algebra in a finite set of sim…

math.AG2024

Associative Local Function Rings

Arvid Siqveland

We prove that for an arbitrary field $k,$ a complete, associative $k^{r}$ -algebra $H^$ augmented over $k^{r}$ has exactly $r$ maximal two-sided ideals and deserves the name $r$ -poi…

math.AG2024

Countably Generated Matrix Algebras

Arvid Siqveland

We define the completion of an associative algebra $A$ in a set $M = {M_{1}, \dots, M_{r}}$ of $r$ right $A$ -modules in such a way that if $a \subseteq A$ is an ideal in a commu…