Order relation in quadratic Jordan rings and a structure theorem
Santos González Jiménez, Consuelo Martínez López (1987)
Extracta Mathematicae
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Santos González Jiménez, Consuelo Martínez López (1987)
Extracta Mathematicae
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Dilian Yang (2005)
Colloquium Mathematicae
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Motivated by Problem 2 in [2], Jordan *-derivation pairs and n-Jordan *-mappings are studied. From the results on these mappings, an affirmative answer to Problem 2 in [2] is given when E = F in (1) or when 𝓐 is unital. For the general case, we prove that every Jordan *-derivation pair is automatically real-linear. Furthermore, a characterization of a non-normal prime *-ring under some mild assumptions and a representation theorem for quasi-quadratic functionals are provided. ...
Iztok Banič (2017)
Open Mathematics
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In calculus, an indefinite integral of a function f is a differentiable function F whose derivative is equal to f. The main goal of the paper is to generalize this notion of the indefinite integral from the ring of real functions to any ring. We also investigate basic properties of such generalized integrals and compare them to the well-known properties of indefinite integrals of real functions.
D. L. Outcalt, Adil Yaqub (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Consuelo Martinez Lopez (1991)
Annales scientifiques de l'Université de Clermont. Mathématiques
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Е.И. Зельманов (1979)
Algebra i Logika
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Zaidi, S.M.A., Ashraf, Mohammad, Ali, Shakir (2004)
International Journal of Mathematics and Mathematical Sciences
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Matej Brešar, Borut Zalar (1992)
Colloquium Mathematicae
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Antonio Fernández López (1992)
Publicacions Matemàtiques
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In this paper we prove that a nondegenerate Jordan algebra satisfying the descending chain condition on the principal inner ideals, also satisfies the ascending chain condition on the annihilators of the principal inner ideals. We also study annihilators in Jordan algebras without nilpotent elements and in JB-algebras.