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Apr
20
accepted Unique factorization consequence
Apr
17
comment Unique factorization consequence
It is pricipal ideal domain (Lang uses principal entire ring so I just translated wrong from Croatian), also, I don't have any condition on b. I was not sure "right inclusion" is good expression so I just thougth it would be clear from second paragraf which inclusion it is :-P
Apr
17
revised Unique factorization consequence
deleted 3 characters in body; edited body
Apr
17
comment Unique factorization consequence
Thank you, I just used same notation as for factor groups (Lang in Algebra used something similar so I thought it is coprehensive)
Apr
17
revised Unique factorization consequence
added 25 characters in body
Apr
17
comment Unique factorization consequence
b is from ring R, any not null element. And I write +(pb) because it is element of quotient module.
Apr
17
asked Unique factorization consequence
Apr
4
accepted Direct products, direct sums and coproducts in category of groups
Apr
1
comment Direct products, direct sums and coproducts in category of groups
I'm lost in meaning of symbols. Is G*H free product group? Apropriate commitative property- what do you mean by that? If I've understood corectly you used universal property of coproduct to show my definition is not isomorphic to free product. But what if we dont know about free product? Why would direct or weak direct product fail definition of coproduct?
Apr
1
asked Direct products, direct sums and coproducts in category of groups
Mar
23
accepted Proving an expression is perfect square
Mar
23
revised Proving an expression is perfect square
added 315 characters in body
Mar
23
asked Proving an expression is perfect square
Jan
10
accepted Prove uniform continuity of function
Jan
8
asked Prove uniform continuity of function
Dec
19
awarded  Caucus
Dec
19
awarded  Constituent
Nov
30
awarded  Tumbleweed
Nov
23
asked Plane and symmetrical lines
Oct
17
comment Prove that $2^{10}+5^{12}$ is composite
@pushpen.paul: I didn't even have idea how to try without trying to use congruences and check divisibility with 3,7,11... but then I saw on Alpha factorization of number and realize that is not good start in this case