18.703 Modern Algebra, The Isomorphism Theorems
نویسنده
چکیده
We have already seen that given any group G and a normal subgroup H, there is a natural homomorphism φ : G −→ G/H, whose kernel is H. In fact we will see that this map is not only natural, it is in some sense the only such map.
منابع مشابه
SOME QUOTIENTS ON A BCK-ALGEBRA GENERATED BY A FUZZY SET
First we show that the cosets of a fuzzy ideal μ in a BCK-algebraX form another BCK-algebra X/μ (called the fuzzy quotient BCK-algebra of X by μ). Also we show thatX/μ is a fuzzy partition of X and we prove several some isomorphism theorems. Moreover we prove that if the associated fuzzy similarity relation of a fuzzy partition P of a commutative BCK-algebra iscompatible, then P is a fuzzy quo...
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تاریخ انتشار 2013