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Page 40
If Ø is a field , then a set X is said to be an algebra over Ø if X is a ring as well as a vector space over Ø and if a ( xy ) = ( axby = x ( ay ) , α , με Χ , αε Φ . A right ( left , two - sided ) ideal in an ...
If Ø is a field , then a set X is said to be an algebra over Ø if X is a ring as well as a vector space over Ø and if a ( xy ) = ( axby = x ( ay ) , α , με Χ , αε Φ . A right ( left , two - sided ) ideal in an ...
Page 44
Thus the concepts of Boolean algebra and Boolean ring with unit are equivalent . If B and C are Boolean algebras and h : B → C , then h is said to be a homomorphism , or a Boolean algebra homomorphism , if h ( x ^ y ) = h ( x ) h ( y ) ...
Thus the concepts of Boolean algebra and Boolean ring with unit are equivalent . If B and C are Boolean algebras and h : B → C , then h is said to be a homomorphism , or a Boolean algebra homomorphism , if h ( x ^ y ) = h ( x ) h ( y ) ...
Page 274
Let S be a compact Hausdorff space and C ( S ) be the algebra of all complex continuous functions on S. Let A be a closed subalgebra of C ( S ) which contains the unit e and contains , with f , its complex conjugate f defined by F ( 8 ) ...
Let S be a compact Hausdorff space and C ( S ) be the algebra of all complex continuous functions on S. Let A be a closed subalgebra of C ( S ) which contains the unit e and contains , with f , its complex conjugate f defined by F ( 8 ) ...
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Contents
Preliminary Concepts | 1 |
B Topological Preliminaries | 10 |
quences | 26 |
Copyright | |
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