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See Also: ring

Other names:  $(-x)\cdot (-y)= x\cdot y$

This object's parent.

Attachments:
product of negative numbers (Derivation) by pahio
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Cross-references: associativity, inverse, additive, ring with unity
There are 2 references to this entry.

This is version 7 of law of signs under multiplication in a ring, born on 2004-03-09, modified 2006-03-10.
Object id is 5675, canonical name is XcdotYXcdotY.
Accessed 3599 times total.

Classification:
AMS MSC13-00 (Commutative rings and algebras :: General reference works )
 16-00 (Associative rings and algebras :: General reference works )
 20-00 (Group theory and generalizations :: General reference works )

Pending Errata and Addenda
None.
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Discussion
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prove needs prove by mj on 2005-01-27 15:20:38

It seems to me that in this prove the part (-1)*(-a)=a needs to be prove dand I'm not sure if it is...
[ reply | up ]
(-x).(-y)=x.y by perucho on 2004-08-05 03:04:52

Also the additive inverse of (-1) is 1.

[ reply | up ]
entry title by drini on 2004-03-09 13:50:53

shouldn't this be better titled "law of signs" or some other common phrasing?
 f
G -----> H G
p \ /_ ----- ~ f(G)
 \ / f ker f
 G/ker f 
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