Darij Grinberg

activity

20082026

most citedHopf Algebras in Combinatorics

120 citations · 245 across the 69 of their papers we have counts for

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math.AC2026

Powers of matrices with all principal minors equal to 1

Darij Grinberg

We say that a square matrix $A$ is \emph{ $1$ -principled} if all its principal minors are equal to $1$ . We show that over any well-behaved ring, any power $A^{m}$ of a $1$ -principled…

math.AC2026

A constructive proof of Orzech's theorem

Darij Grinberg

Let $A$ be a commutative ring with unity, and $M$ a finitely generated $A$ -module. In 1971, Morris Orzech showed that any surjective $A$ -module homomorphism from a submodule of $M$ …

math.AC2019★ 1 cited

Integrality over ideal semifiltrations

Darij Grinberg

We study integrality over rings (all commutative in this paper) and over ideal semifiltrations (a generalization of integrality over ideals). We begin by reproving classical result…

math.AC2019

Integrality of matrices, finiteness of matrix semigroups, and dynamics of linear and additive cellular automata

Alberto Dennunzio, Enrico Formenti, Darij Grinberg +1

Let $K$ be a finite commutative ring, and let $L$ be a commutative $K$ -algebra. Let $A$ and $B$ be two $n \times n$ -matrices over $L$ that have…