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on closedness of right (left) normal bands and left(right) quasinormal bands
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نویسنده
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abbas shabnam ,ashraf wajih
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منبع
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journal of algebraic structures and their applications - 2023 - دوره : 10 - شماره : 2 - صفحه:1 -14
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چکیده
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It is well known that all subvarieties of the variety of all semigroups are not absolutely closed. so, it is worth to find subvarieties of the variety of all semigroups that are closed in itself or closed in the containing varieties of semigroups. we have gone through this open problem and able to determine that the varieties of right [left] normal bands and left [right] quasinormal bands are closed in the varieties of semigroups defined by the identities axy = xany [axy = aynx], axy = xnay [axy = ayxn] (n > 1); and axy = axnay [axy = ayxny] (n > 1), axy = anxary [axy = ayrxyn] (n, r ∈ n), respectively.
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کلیدواژه
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band ,closed ,identity ,special semigroup amalgam ,variety ,zigzag equations
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آدرس
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aligarh muslim university, department of mathematics, india, aligarh muslim university, department of mathematics, india
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پست الکترونیکی
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swashraf81@gmail.com
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Authors
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