TOPOLOGY INDUCED BY QUOTIENTS ON NEARRING MODULES
نویسندگان
چکیده
منابع مشابه
Quotients of Standard Hilbert Modules
We initiate a study of Hilbert modules over the polynomial algebra A = C[z1, . . . , zd] that are obtained by completing A with respect to an inner product having certain natural properties. A standard Hilbert module is a finite multiplicity version of one of these. Standard Hilbert modules occupy a position analogous to that of free modules of finite rank in commutative algebra, and their quot...
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Let $R$ be an associative ring and let $M$ be a left $R$-module.Let $Spec_{R}(M)$ be the collection of all prime submodules of $M$ (equipped with classical Zariski topology). There is a conjecture which says that every irreducible closed subset of $Spec_{R}(M)$ has a generic point. In this article we give an affirmative answer to this conjecture and show that if $M$ has a Noetherian spectrum, t...
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let $r$ be an associative ring and let $m$ be a left $r$-module.let $spec_{r}(m)$ be the collection of all prime submodules of $m$ (equipped with classical zariski topology). there is a conjecture which says that every irreducible closed subset of $spec_{r}(m)$ has a generic point. in this article we give an affirmative answer to this conjecture and show that if $m$ has a noetherian spectrum, t...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2006
ISSN: 1027-5487
DOI: 10.11650/twjm/1500403893