Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers. The product bases of that group are represented by the multiplicative group of invertible elements in that matrix ring. All products in the Baer-Specker group are characterized, and a lemma of L&#225;szl&#243; Fuchs regarding such products is revisited.
['E.F. Cornelius']
I am writing a research paper on a idea Endomorphisms and Product Bases of the Baer-Specker Group
[{"from": "human", "value": "I am writing a research paper on a idea Endomorphisms and Product Bases of the Baer-Specker Group"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The endomorphism ring of the group of all sequences of integers, the Baer-Specker group, is isomorphic to the ring of row finite infinite matrices over the integers. The product bases of that group are represented by the multiplicative group of invertible elements in that matrix ring. All products in the Baer-Specker group are characterized, and a lemma of L&#225;szl&#243; Fuchs regarding such products is revisited."}]