عنوان
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The Compact Metric Space of the Lattice of Varieties and ∗-Varieties of C∗-Algebras
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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Key Words: Variety of Banach algebras, H-variety, Q-algebras, IR-algebras
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چکیده
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Varietyof Banach algebras is a non-emptyclass of Banach algebras in which there exist a familyof laws such that all of its members satisfyall of the laws. In this paper, we have used merelymathematical items such as Banach algebras and varieties including Banach algebras in order to change the space of all varieties of Banach algebras into a compact metric space. We prove some theorems in the metric space of zero at infinityvarieties, define the ∗-varieties of ∗-algebra and prove many theorems about ∗-varieties of C∗-algebras.
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پژوهشگران
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قربان خلیل زاده رنجبر (نفر اول)
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