On split pairs of rank 1
Ali Nesin (1990)
Compositio Mathematica
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Ali Nesin (1990)
Compositio Mathematica
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Jeremy Lovejoy, Robert Osburn (2010)
Acta Arithmetica
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Leemans, Dimitri, Rowley, Peter (2010)
The Electronic Journal of Combinatorics [electronic only]
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A. Lachlan (1974)
Fundamenta Mathematicae
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G. S. Rogers (1983)
Applicationes Mathematicae
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Bernard Aupetit, H. Mouton (1996)
Studia Mathematica
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We show that the trace and the determinant on a semisimple Banach algebra can be defined in a purely spectral and analytic way and then we obtain many consequences from these new definitions.
Yong Ge Tian, George P. H. Styan (2002)
Commentationes Mathematicae Universitatis Carolinae
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It is shown that where is idempotent, has full row rank and . Some applications of the rank formula to generalized inverses of matrices are also presented.
A. Lachlan (1980)
Fundamenta Mathematicae
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Tommy Bülow (2005)
Acta Arithmetica
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