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the small condition for modules with noetherian dimension
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نویسنده
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shirali nasrin ,kavoosi ghafi hooriya ,javdannezhad malek
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منبع
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journal of mahani mathematical research - 2025 - دوره : 14 - شماره : 1 - صفحه:327 -343
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چکیده
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A module m with noetherian dimension is said to satisfy the small condition, if for any small submodule s of m the noetherian dimension of s is strictly less than the noetherian dimension of m. for an artinian module m, this is equivalent to that m is semisimple. in this article, we introduce and study this concept and observe some basic facts for modules with this condition.
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کلیدواژه
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large condition ,small condition ,semiatomic modules ,projective cover
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آدرس
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shahid chamran university of ahvaz, department of mathematics, iran, shahid chamran university of ahvaz, department of mathematics, iran, shahid rajaee teacher training university, department of mathematics, iran
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پست الکترونیکی
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sm.javdannezhad@gmail.com
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Authors
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