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 Apr20 accepted Unique factorization consequence Apr17 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 Apr17 revised Unique factorization consequence deleted 3 characters in body; edited body Apr17 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) Apr17 revised Unique factorization consequence added 25 characters in body Apr17 comment Unique factorization consequence b is from ring R, any not null element. And I write +(pb) because it is element of quotient module. Apr17 asked Unique factorization consequence Apr4 accepted Direct products, direct sums and coproducts in category of groups Apr1 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? Apr1 asked Direct products, direct sums and coproducts in category of groups Mar23 accepted Proving an expression is perfect square Mar23 revised Proving an expression is perfect square added 315 characters in body Mar23 asked Proving an expression is perfect square Jan10 accepted Prove uniform continuity of function Jan8 asked Prove uniform continuity of function Dec19 awarded Caucus Dec19 awarded Constituent Nov30 awarded Tumbleweed Nov23 asked Plane and symmetrical lines Oct17 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