Generalized rational identities and rings with involution

1980 ◽  
Vol 36 (2) ◽  
pp. 187-192 ◽  
Author(s):  
Paul C. Desmarais ◽  
Wallace S. Martindale
Keyword(s):  
Rings With Involution

scholarly journals Invariant subgroups in rings with involution

1981 ◽  
Vol 72 (2) ◽  
pp. 342-358 ◽  
Author(s):  
Walter Streb
Keyword(s):  
Rings With Involution

scholarly journals Rings with involution and polynomial identities

1969 ◽  
Vol 11 (2) ◽  
pp. 186-194 ◽  
Author(s):  
Wallace S Martindale
Keyword(s):  
Polynomial Identities ◽  
Rings With Involution

scholarly journals A Representation Theorem for Archimedean Quadratic Modules on ∗-Rings

2009 ◽  
Vol 52 (1) ◽  
pp. 39-52 ◽  
Author(s):  
Jakob Cimprič
Keyword(s):  
Algebraic Geometry ◽  
Representation Theory ◽  
Representation Theorem ◽  
Commutative Rings ◽  
Real Algebraic Geometry ◽  
New Approach ◽  
Noncommutative Version ◽  
Quadratic Modules ◽  
Rings With Involution ◽  
Associative Rings

AbstractWe present a new approach to noncommutative real algebraic geometry based on the representation theory of C*-algebras. An important result in commutative real algebraic geometry is Jacobi's representation theorem for archimedean quadratic modules on commutative rings. We show that this theorem is a consequence of the Gelfand–Naimark representation theorem for commutative C*-algebras. A noncommutative version of Gelfand–Naimark theory was studied by I. Fujimoto. We use his results to generalize Jacobi's theorem to associative rings with involution.

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