منابع مشابه
Real Gelfand–mazur Algebras
Several classes of real Gelfand–Mazur algebras are described. Conditions, when the trace M∩B of a closed maximal left (right) idealM of a real topological algebra A would be a maximal ideal in a subalgebra B of the center of A are given.
متن کاملReal Gel’fand-mazur Division Algebras
We show that the complexification (Ã, τ̃) of a real locally pseudoconvex (locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra (A,τ) is a complex locally pseudoconvex (resp., locally absorbingly pseudoconvex, locally multiplicatively pseudoconvex, and exponentially galbed) algebra and all elements in the complexification (Ã, τ̃) of a commutati...
متن کاملSYMMETRIC m-CONVEX ALGEBRAS WITHOUT ALGEBRAIC ZERO DIVISORS AND RESULTS OF GELFAND-MAZUR TYPE
We show that in a symmetric m-convex algebra without algebraic zero divisors, any self-adjoint and invertible element is either positive or negative. As a consequence we obtain that a symmetric m-convex algebra containing no algebraic zero divisors and for which every positive element has a positive square root is isomorphic to C + Rad(A).
متن کاملm-CONVEX ALGEBRAS WITHOUT ALGEBRAIC ZERO DIVISORS AND RESULTS OF GELFAND-MAZUR TYPE
We show that in a symmetric m-convex algebra without algebraic zero divisors, any self-adjoint and invertible element is either positive or negative. As a consequence we obtain that a symmetric m-convex algebra containing no algebraic zero divisors and for which every positive element has a positive square root is isomorphic to C + Rad(A).
متن کاملGelfand-Kirillov Dimension of Commutative Subalgebras of Simple Infinite Dimensional Algebras and their Quotient Division Algebras
Throughout this paper, K is a field, a module M over an algebra A means a left module denoted AM , ⊗ = ⊗K . In contrast to the finite dimensional case, there is no general theory of central simple infinite dimensional algebras. In some sense, structure of simple finite dimensional algebras is ‘determined’ by their maximal commutative subalgebras (subfields)[see [18] for example]. Whether this s...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2003
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s0161171203211066