Question
Find all the units of .
Answer :
Word Count : 59
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In the ring (\mathbb{Z}*{12}), an element (\overline{a}) is a unit if and
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Related Questions
Consider the map . Let
. Then B is a group with respect to the composition of functions. Check whether or not
is a normal subgroup of B.
मान लीजिए कि . जाँच कीजिए कि D एक UFD है या नहीं।
) Define a relation R on , by
.
Check whether R is an equivalence relation or not. If it is, find all the distinct equivalence classes. If R is not an equivalence relation, define an equivalence relation on .
Find a group G, and a homomorphism of G, so that
and
. Is G abelian? Give reasons for your answer.
दर्शाइए कि R/M एक क्षेत्र है, तथा इस क्षेत्र के दो अलग-अलग शून्येतर अवयव दीजिए।
सिद्ध कीजिए कि (n बार)
और
.
Hence show that if N is an ideal of R properly containing M, then .