semistar dimension of polynomial rings and prufer-like domains

نویسندگان

p. sahandi

چکیده

let $d$ be an integral domain and $star$ a semistar operation stable and of finite type on it. we define the semistar dimension (inequality) formula and discover their relations with $star$-universally catenarian domains and $star$-stably strong s-domains. as an application, we give new characterizations of $star$-quasi-pr"{u}fer domains and um$t$ domains in terms of dimension inequality formula (and the notions of universally catenarian domain, stably strong s-domain, strong s-domain, and jaffard domain). we also extend arnold's formula to the setting of semistar operations.

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عنوان ژورنال:
bulletin of the iranian mathematical society

ناشر: iranian mathematical society (ims)

ISSN 1017-060X

دوره 37

شماره No. 3 2011

میزبانی شده توسط پلتفرم ابری doprax.com

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