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![Example: [Z m ;+,*] is a field iff m is a prime number [a] -1 =? If GCD(a,n)=1,then there exist k and s, s.t. ak+ns=1, where k, s ](https://images.slideplayer.com/31/9708903/slides/slide_6.jpg "Example: [Z m ;+,*] is a field iff m is a prime number [a] -1 =? If GCD(a,n)=1,then there exist k and s, s.t. ak+ns=1, where k, s ")
Example: [Z m ;+,*] is a field iff m is a prime number [a] -1 =? If GCD(a,n)=1,then there exist k and s, s.t. ak+ns=1, where k, s
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![6.6 Rings and fields 6.6.1 Rings Definition 21: A ring is an Abelian group [R, +] with an additional associative binary operation (denoted ·) such that. - ppt download](https://slideplayer.com/10171857/34/images/slide_1.jpg "6.6 Rings and fields 6.6.1 Rings Definition 21: A ring is an Abelian group [R, +] with an additional associative binary operation (denoted ·) such that. - ppt download")
6.6 Rings and fields 6.6.1 Rings Definition 21: A ring is an Abelian group [R, +] with an additional associative binary operation (denoted ·) such that. - ppt download
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![Sam Walters ☕️ on X: "Two quick examples of local rings (one commutative, one non-commutative). (The first one I thought up, the second is known from complex variables theory.) References. [1] S.](https://pbs.twimg.com/media/FHzl9ZGVEAAlL0e.jpg "Sam Walters ☕️ on X: \"Two quick examples of local rings (one commutative, one non-commutative). (The first one I thought up, the second is known from complex variables theory.) References. [1] S.")
Sam Walters ☕️ on X: "Two quick examples of local rings (one commutative, one non-commutative). (The first one I thought up, the second is known from complex variables theory.) References. [1] S.
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