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In this note, we mainly provide two mathematical problems and discuss their kinship with the well known Koethe problem. The first problem is based on the theory of non-commutative matrices and the second problem is based on the theory of non-commutative rings. These problems appear to be of fundamental importance in mathematics.
MSC 2010 : 12xx, 97H40, 13A99.
Koethe problem, non-commutative ring, nilpotent, open problem, https://internationaljournalsiwan.com/Mathematics-Research-Journal-Volume-LVI-Sep-2022.php, matrix
Koethe problem, non-commutative ring, nilpotent, open problem, https://internationaljournalsiwan.com/Mathematics-Research-Journal-Volume-LVI-Sep-2022.php, matrix
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