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Statements

Subject Item
dbr:Ordered_algebra
rdfs:label
Ordered algebra
rdfs:comment
In mathematics, an ordered algebra is an algebra over the real numbers with unit e together with an associated order such that e is positive (i.e. e ≥ 0), the product of any two positive elements is again positive, and when A is considered as a vector space over then it is an Archimedean ordered vector space.
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dbc:Functional_analysis
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64172078
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1041753564
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dbr:Algebra_over_a_field dbr:Cone_(mathematics) dbr:Vector_space dbr:Mathematics dbr:Algebraic_dual dbc:Functional_analysis dbr:Weak-*_topology dbr:Order_unit dbr:Archimedean_order dbr:Partial_order dbr:Graduate_Texts_in_Mathematics dbr:Riesz_space dbr:Ordered_vector_space dbr:Banach_algebra dbr:Extreme_ray dbr:Homomorphism dbr:Minkowski_functional dbr:Linear_form dbr:Real_number dbr:Order_summable
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dbo:abstract
In mathematics, an ordered algebra is an algebra over the real numbers with unit e together with an associated order such that e is positive (i.e. e ≥ 0), the product of any two positive elements is again positive, and when A is considered as a vector space over then it is an Archimedean ordered vector space.
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wikipedia-en:Ordered_algebra