Results 131 to 140 of about 1,325 (162)
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On idempotency and tripotency of linear combinations of two commuting tripotent matrices
Applied Mathematics and Computation, 2009Let \(T_{1}\) and \(T_{2}\) be two nonzero complex \({n}\times{n}\) matrices. Further let \(T_{1}\) and \(T_{2}\) be commuting tripotent, i.e. \(T_{1}T_{2}=T_{2}T_{1}\) and \(T_{i}^{3}=T_{i}\), \({i=1,2}\). Now for two complex numbers \(\lambda_{1}\) and \(\lambda_{2}\), put \({T}=\lambda_{1}T_{1}+\lambda_{2}T_{2}\).
Halim Özdemir +2 more
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Tripotents in Algebras: Ideals and Commutators
Lobachevskii Journal of Mathematics, 2022An element \(A\) in an algebra \(\mathcal{A}\) is said to be \(n\)-potent (\(n\in \mathbb{N}\)) if \(A^{n}=A\). For the particular cases \(n=2\) and \(n=3\), this accords with the standard definitions of idempotents and tripotents, respectively. The main goal of this paper is to study \(n\)-potent elements in unital algebras.
Fawwaz, Khattab, Yakushev, Rinat
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Rings generalized by tripotents and nilpotents
Czechoslovak Mathematical Journal, 2022Several characterizations of a nil-clean-type condition first studied by \textit{Y. Zhou} in [J. Algebra Appl. 17, No. 1, Article ID 1850009, 7 p. (2018; Zbl 1415.16034)] are established. A ring \(R\) is called \emph{Zhou nil-clean} if every element of \(R\) is a sum of a nilpotent element and two tripotent elements that all commute. (Tripotence is the
Chen, Huanyin +2 more
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Tripotents in algebras: Invertibility and hyponormality
Lobachevskii Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Airat M Bikchentaev
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Linear Algebra and Its Applications, 2012 The authors study the tripotency of a linear combination of three matrices, which has a background in statistical theory. They demonstrate all the possible cases that lead to the tripotency of a linear combination of two involutory matrices and a tripotent matrix that mutually commute. By utilizing block technique and returning the partitioned matrices
Chuang Xu
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Positive definite hermitian mappings associated with tripotent elements
Expositiones Mathematicae, 2015 We give a simple proof of a meaningful result established by Y. Friedman and B. Russo in 1985, whose proof was originally based on strong holomorphic results. We provide a simple proof which is directly deduced from the axioms of JB*-triples with techniques of Functional Analysis.
Antonio M Peralta
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Manifolds of tripotents in JB*-triples
Mathematische Zeitschrift, 2000An element \(x\) of a \(JB^*\)-triple is called tripotent if \(\{xxx\}=x\). In this paper the authors describe basic geometric structures of manifolds of tripotents in \(JB^*\)-triples. Connections on manifolds of finite-rank tripotents are defined, and their geodesics described. Projections in a \(JB^*\)-algebra are tripotents.
Chu, C.-H., Isidro, J. M.
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A note on linear combinations of commuting tripotent matrices
Linear Algebra and Its Applications, 2004 This paper characterizes commuting tripotent matrices having a linear combination which is also a tripotent matrix.
Halim Özdemir
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Generation of Tripotent Neural Progenitor Cells from Rat Embryonic Stem Cells
Journal of Genetics and Genomics, 2012Rat is a valuable model for pharmacological and physiological studies. Germline-competent rat embryonic stem (rES) cell lines have been successfully established and the molecular networks maintaining the self-renewing, undifferentiated state of rES cells have also been well uncovered.
Qi Zhou
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Lattice of tripotents in a JBW*-triple
International Journal of Theoretical Physics, 1995The complete lattice of tripotents in a JBW*-triple and the unit ball in its predual are respectively proposed as models for the complete lattice of propositions and for the generalized normal state space of a nonassociative, noncommutative physical system.
C. Martin Edwards +1 more
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