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--[[User:Jmcdorma|Jmcdorma]] 12:16, 5 February 2009 (UTC) | --[[User:Jmcdorma|Jmcdorma]] 12:16, 5 February 2009 (UTC) | ||
+ | |||
+ | Monomorphism: morphism for which phi(g) = phi(g') happens only if g = g'. (injective) | ||
+ | |||
+ | Epimorphism: morphism for which every element in target group H is hit. (surjective) | ||
+ | |||
+ | Isomorphism: morphism that is both injective and surjective. | ||
+ | |||
+ | --Sgrosenb 10:27 8 February 2009 |
Revision as of 17:28, 8 February 2009
Euclid
a = qb + r with 0 <= r < b
where a,b,q,r are integers
--ERaymond 12:26 29 January 2009 (UTC)
GCD: The greatest common divisor of two nonzero integers a and b is the largest of all common divisors of a and b.
LCM: The least common multiple of two nonzero integers a and b is the smallest positive integer that is a multiple of both a and b.
--Jmcdorma 12:16, 5 February 2009 (UTC)
Monomorphism: morphism for which phi(g) = phi(g') happens only if g = g'. (injective)
Epimorphism: morphism for which every element in target group H is hit. (surjective)
Isomorphism: morphism that is both injective and surjective.
--Sgrosenb 10:27 8 February 2009