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Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

4 votes

Is there a $3$-commutative algebra?

Let $a,b,c$ be basis vectors over some commutative associative algebra $X$. Consider the algebra $A$ spanned by these basis vectors over $X$, with the multiplication rules $pq=q$ for all $p,q \in \{a, …
Maarten Havinga's user avatar
4 votes
0 answers
140 views

Does an instance of this generalisation of the determinant exist?

In such a way that the entries of $T(A)$ degree $d$ homogeneous polynomials in the entries of $A$? Or do we need to take a subalgebra of the $n×n$ matrices for this? …
Maarten Havinga's user avatar