However, these matrices are typically "non-commutative," meaning that multiplying the first matrix by the second does not yield the same result as multiplying the second one by the first.

On the other hand, commutative algebras can be well understood through their geometry. A "big algebra" is a commutative 'translation' of a non-commutative matrix algebra, and thus allows the use ...

Commutative families in DIM algebra, integrable many-body systems and q, t matrix models Journal: Journal of High Energy Physics Published: 2024-09-27 DOI: 10.1007/jhep09 (2024)200 Affiliations: 4 ...

This is a non-commutative, and thus quantum, generalization of a magic square. The authors show that quantum magic squares cannot be as easily characterized as their "classical" cousins.

This is a non-commutative, and thus quantum, generalization of a magic square. The authors show that quantum magic squares cannot be as easily characterized as their "classical" cousins.

Gupta’s PhD research was in commutative algebra, an area of number theory that studies mathematical objects known as commutative rings Unlock financial freedom.

Non-commutative symmetry groups have been so far represented by non-commutative matrices, i.e., matrices in which the order of operations influences the end result.