en>Bobathon71: A structure-preserving map exists between a module over a ring of integers and an abelian group, but they aren't the same thing. Counterexample: U(1). Even for finite groups, bijection exists with module over Z/Zn only if all generators have order n.

2015-01-08T12:41:56Z

A structure-preserving map exists between a module over a ring of integers and an abelian group, but they aren't the same thing. Counterexample: U(1). Even for finite groups, bijection exists with module over Z/Zn only if all generators have order n.

← Older revision		Revision as of 14:41, 8 January 2015
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86.184.138.208: /* Formal definition */

2014-02-26T19:08:00Z

Formal definition

Show changes

134.10.132.51: The old way was illegible, and the article linked to never writes it with a fancy lowercase l either.

2014-02-02T00:38:56Z

The old way was illegible, and the article linked to never writes it with a fancy lowercase l either.

Show changes

en>Linas: /* References */ add nlab reference

2012-09-02T15:15:32Z

References: add nlab reference

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Module (mathematics) - Revision history

en>Bobathon71: A structure-preserving map exists between a module over a ring of integers and an abelian group, but they aren't the same thing. Counterexample: U(1). Even for finite groups, bijection exists with module over Z/Zn only if all generators have order n.

86.184.138.208: /* Formal definition */

134.10.132.51: The old way was illegible, and the article linked to never writes it with a fancy lowercase l either.

en>Linas: /* References */ add nlab reference