Displaying similar documents to “Multiplicative operators on symmetric commutative algebras”

States on basic algebras

Ivan Chajda, Helmut Länger (2017)

Mathematica Bohemica

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States on commutative basic algebras were considered in the literature as generalizations of states on MV-algebras. It was a natural question if states exist also on basic algebras which are not commutative. We answer this question in the positive and give several examples of such basic algebras and their states. We prove elementary properties of states on basic algebras. Moreover, we introduce the concept of a state-morphism and characterize it among states. For basic algebras which...

Nonlinear separable equations in linear spaces and commutative Leibniz algebras

D. Przeworska-Rolewicz (2010)

Annales Polonici Mathematici

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We consider nonlinear equations in linear spaces and algebras which can be solved by a "separation of variables" obtained due to Algebraic Analysis. It is shown that the structures of linear spaces and commutative algebras (even if they are Leibniz algebras) are not rich enough for our purposes. Therefore, in order to generalize the method used for separable ordinary differential equations, we have to assume that in algebras under consideration there exist logarithmic mappings. Section...

On the classification of the real flexible division algebras

Erik Darpö (2006)

Colloquium Mathematicae

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We investigate the class of finite-dimensional real flexible division algebras. We classify the commutative division algebras, completing an approach by Althoen and Kugler. We solve the isomorphism problem for scalar isotopes of quadratic division algebras, and classify the generalised pseudo-octonion algebras. In view of earlier results by Benkart, Britten and Osborn and Cuenca Mira et al., this reduces the problem of classifying the real flexible division algebras...

Automatic continuity of generalized intertwining operators

K. B. Laursen

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CONTENTSIntroduction................................................. 51. Basic concepts and terminology................ 92. Generalized intertwining maps................... 123. Commutative regular algebras................... 184. C*-algebras.................................................... 255. Algebras of differentiable functions............ 31Bibliography........................................................ 51

Several Classes of BCK-algebras and their Properties

Tao Sun, Dahai Hu, Xiquan Liang (2007)

Formalized Mathematics

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In this article the general theory of Commutative BCK-algebras and BCI-algebras and several classes of BCK-algebras are given according to [2].

On B-algebras

J. Neggers, Hee Sik Kim (2002)

Matematički Vesnik

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A classification of symmetric algebras of strictly canonical type

Marta Kwiecień, Andrzej Skowroński (2009)

Colloquium Mathematicae

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In continuation of our article in Colloq. Math. 116.1, we give a complete description of the symmetric algebras of strictly canonical type by quivers and relations, using Brauer quivers.