Proof that If A,A ',B,B ' are sets such that lAl IA 'I and lBl IB 'I, then IA X Bl IA ' X B 'I u in addition A B A ' B ', then IA Bl IA ' B 'I Therefore multiplication and addition of cardinals is well defined ...

This statement is true First we have the product rule for the cardinality ...

Proof that If A,A',B,B' are sets such that lAl = IA'I and lBl = IB'I, then IA

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Proof that If A,A',B,B' are sets such that lAl = IA'I and lBl = IB'I, then IA X Bl = IA' X B'I. u in addition A ∩ B = Ø = A' ∩ B', then IA ∪ Bl = IA' ∪ B'I- Therefore multiplication and addition of cardinals is well defined.

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Algebra Graduate Texts In Mathematics 73

ISBN: 9780387905181

8th Edition

Authors: Thomas W. Hungerford

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Question Posted: Apr 13, 2023 03:08 AM

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Proof that If A,A',B,B' are sets such that lAl = IA'I and lBl = IB'I, then IA

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Algebra Graduate Texts In Mathematics 73

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