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on left r-clean bimodules
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نویسنده
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yuwaningsih d. a. ,wijayanti i. e. ,surodjo b.
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منبع
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journal of algebra and related topics - 2023 - دوره : 11 - شماره : 2 - صفحه:1 -19
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چکیده
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Let r be an associative ring with identity and m an r-bimodule. we introduce the generalization of r-clean rings called left r-clean r-bimodules, defined without their endomorphism rings. an r-bimodule m is said to be left r-clean if each element is the sum of a left idempotent and a left regular element of m. we present some properties of the left r-clean r-bimodule. at the end of this paper, we give the sufficient and necessary condition for an r-bimodule to form a left r-clean r-bimodule.
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کلیدواژه
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left r-clean ,left regular element ,r-bimodule ,left idempotent
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آدرس
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universitas gadjah mada, department of mathematics, indonesia. universitas ahmad dahlan, department of mathematics education, indonesia, universitas gadjah mada, department mathematics, indonesia, universitas gadjah mada, department of mathematics, indonesia
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پست الکترونیکی
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surodjo_b@ugm.ac.id
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Authors
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