Year: 2025
Type: article
Abstract: We consider the set of all equitable matrices of order n for a given partitionof n. We show that this set is a subring of the ring of square matrices of order n.Moreover, we prove that this set is epimorphic to the ring of square matrices of order k,where k is the number of parts in the given partition. In particular, we prove that thesum, the product and the inverse of equitable matrices are also equitable
Author: ALI NABAVI
Language: English
Topic: Matrix Theory and Algorithms
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4414929023
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