منابع مشابه
Making Non - Associative Algebra Associative Pei
Based on results about open string correlation functions, a nonassociative algebra was proposed in a recent paper for D-branes in a background with nonvanishing H. We show that our associative algebra obtained by quantizing the endpoints of an open string in an earlier work can also be used to reproduce the same correlation functions. The novelty of this algebra is that functions on the D-brane...
متن کاملThe Automorphisms of Cayley's Non-Associative Algebra.
1 For multiple Fourier integrals in the place of Fourier series this formula has been previously estabLished and made use of in the paper: S. Bochner, "Ein Konvergenzsatz fur mehrvariablige Fouriersche Integrale," Math. Zeit., 34, 440-447 (1931); see also A. C. Berry, "The Fourier Transform Theorem," Jour. Math. Phys. Mass. Inst. Technology, 8, 106-118 (1929). 2 See Bochner, S., "Properties of ...
متن کاملNon-associative Kleene Algebra and Temporal Logics
In earlier papers we have presented algebraic semantics of CTL and CTL*. However, they were not fully satisfactory. In particular, the treatment of the iteration operators U (“Until”) and W (“While”) employed ad-hoc definitions with general recursion, and their interrelation in CTL* and CTL was not set up in a very algebraic way. In this paper we use a new operator with which U and W can be des...
متن کاملA non radical based approach to study of associative algebras
We continue the study of pairs of associative algebra and a linear functional on it. New results together with corrected proofs for previously published material are presented.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1942
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1942-07814-1