Endomorphisms and Product Bases of the Baer-Specker Group | Zendy

E. F. Cornelius | Zendy

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Endomorphisms and Product Bases of the Baer-Specker Group

Author(s) -

E. F. Cornelius

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/396475

Subject(s) - mathematics , endomorphism , invertible matrix , multiplicative function , group (periodic table) , lemma (botany) , ring (chemistry) , endomorphism ring , multiplicative group , product (mathematics) , additive group , cyclic group , group ring , combinatorics , discrete mathematics , pure mathematics , abelian group , mathematical analysis , ecology , chemistry , geometry , poaceae , organic chemistry , biology

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 László Fuchs regarding such products is revisited

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