On the structure of some minimax-antifinitary modules | Zendy

V.A. Chupordia | Zendy

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On the structure of some minimax-antifinitary modules

Author(s) -

V.A. Chupordia

Publication year - 2015

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.7.1.120-132

Subject(s) - mathematics , minimax , noetherian , finitely generated abelian group , ring (chemistry) , combinatorics , group (periodic table) , discrete mathematics , pure mathematics , algebra over a field , mathematical optimization , chemistry , organic chemistry

Let $R$ be a ring and $G$ a group. An $R$-module $A$ is said to be {\it minimax} if $A$ includes a noetherian submodule $B$ such that $A/B$ is artinian. The author study a $\mathbb{Z}_{p^\infty}G$-module $A$ such that $A/C_A(H)$ is minimax as a $\mathbb{Z}_{p^\infty}$-module for every proper not finitely generated subgroup $H$.

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