Semiprime semiperfect rings in which each right ideal has two generators (Q788084)
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scientific article; zbMATH DE number 3842078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semiprime semiperfect rings in which each right ideal has two generators |
scientific article; zbMATH DE number 3842078 |
Statements
Semiprime semiperfect rings in which each right ideal has two generators (English)
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1983
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If A is an associative ring with 1 which is right noetherian, and I is a right ideal of A, denote by \(\mu\) (I) the minimal number of generators of I. Denote also \(\mu^*(A)=\sup \{\mu(I)| I\quad is\quad a\quad right\quad ideal\quad of\quad A\}.\) The aim of this paper is to describe the two-sided noetherian semiprime semiperfect rings A for which \(\mu^*(A)\leq 2\).
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minimal number of generators
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noetherian semiprime semiperfect rings
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