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Core invertibility of triangular matrices over a ring. (English) Zbl 1433.15009

Summary: We obtained several equivalent conditions for the existence of core inverses and dual core inverses of triangular matrices over a ring with involution. As applications, some necessary and sufficient conditions for the \((2,2,0)\) core inverse problem are given.

MSC:

15A09 Theory of matrix inversion and generalized inverses
15B33 Matrices over special rings (quaternions, finite fields, etc.)
16U90 Generalized inverses (associative rings and algebras)
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References:

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