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crossed squares, crossed modules overgroupoids and cat^1−2−groupoids
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نویسنده
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temel sedat
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منبع
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categories and general algebraic structures with applications - 2020 - دوره : 13 - شماره : 1 - صفحه:125 -142
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چکیده
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The aim of this paper is to introduce the notion of cat^1−groupoidswhich are the groupoid version of cat^1−groups and to prove the categoricalequivalence between crossed modules over groupoids and cat^1−groupoids. insection 4 we introduce the notions of crossed squares over groupoids and ofcat^2−groupoids, and then we show their categories are equivalent. theseequivalences enable us to obtain more examples of groupoids.
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کلیدواژه
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crossed module ,crossed square ,groupoid ,cat^1−group ,cat^2−group
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آدرس
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recep tayyip erdogan university, faculty of arts and science, department of mathematics, turkey
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پست الکترونیکی
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sedat.temel@erdogan.edu.tr
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Authors
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