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Cayley-Hamilton theorem for matrices over an arbitrary ring [PDF]
, 2006 2000 Mathematics Subject Classification: 15A15, 15A24, 15A33, 16S50.For an n×n matrix A over an arbitrary unitary ring R, we obtain the following Cayley-Hamilton identity with right matrix coefficients: (λ0I+C0)+A(λ1I+C1)+… +An-1(λn-1I+Cn-1)+An (n!I+Cn) =
Szigeti, Jenő
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Generalized derivations of associative algebras
, 2004 In their paper [6], Leger and Luks introduced the notion of a generalized derivation in nonassociative algebras and got several results for generalized derivations of Lie algebras. This generalized derivation is closely related to Brešar's and the second
Komatsu, Hiroaki, Nakajima, Atsushi
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Rigidity Dimension of Algebras
Mathematical Proceedings of the Cambridge Philosophical Society, 2021Ming Fang, Hongxing Chen, Kunio Yamagata
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Prinjective Modules, Propartite Modules, Representations of Bocses and Lattices Over Orders
Journal of the Mathematical Society of Japan, 1997Daniel Simson
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Generalized Triangular Matrix Rings and the Fully Invariant Extending Property
Rocky Mountain Journal of Mathematics, 2002Gary F Birkenmeier +2 more
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