Explore Number Theory and Geometry with Mathematics Problem Explorer Book

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Hi friends, A new math book by name "Mathematics Problem Explorer" has come. It contains many problems in Number Theory, Plane geometry n algebre. It rox...For further discussions on Number Theory and Mathematics..mail to rahulchakravarthy_iitm@yahoo.com
 
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Hai Rahul sent more information about publishors and author of this book.
 
Sorry to ask Rahul, but are you on the revleft and rebelalliance forums by any chance? We do have a certain rahul from India...
 

Thread 'About the existence of Hamel basis for vector spaces'

It is well known that a vector space always admits an algebraic (Hamel) basis. This is a theorem that follows from Zorn's lemma based on the Axiom of Choice (AC). Now consider any specific instance of vector space. Since the AC axiom may or may not be included in the underlying set theory, might there be examples of vector spaces in which an Hamel basis actually doesn't exist ?
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