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hyper vector spaces over krasner hyperfields
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نویسنده
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al-tahan m. ,davvaz b.
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منبع
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journal of algebraic hyperstructures and logical algebras - 2020 - دوره : 1 - شماره : 3 - صفحه:61 -72
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چکیده
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In this paper, we study hyper vector spaces over krasner hyperfields. first, we introduce the notions of linearly independence (dependence) and basis for a hyper vector space. second, we investigate their properties and prove some results for hyper vector spaces that are similar to that of vector spaces over fields. then, we define linear transformations over hyper vector spaces and investigate their properties. finally, we prove the dimension theorem for linear transformations.
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کلیدواژه
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krasner hyperfield ,hyper vector space ,subhyperspace ,linearly independent ,basis ,linear transformation
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آدرس
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lebanese international university, department of mathematics, lebanon, yazd university, department of mathematics, iran
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پست الکترونیکی
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davvaz@yazd.ac.ir
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Authors
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