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congruences in seminearrings and their correspondence with strong ideals
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نویسنده
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koppula kavitha ,kedukodi babushri srinivas ,kuncham syam prasad
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منبع
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algebraic structures and their applications - 2024 - دوره : 11 - شماره : 4 - صفحه:255 -272
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چکیده
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In this paper, we define the notion of strong ideal of a seminearring s. if s is a nearring or a ring then the concept of a strong ideal of s coincides with the usual ideal of s. weshow that there is one-one correspondence between strong ideals of s and strong congruences on s. using the concept of strong ideals, we prove classical isomorphism theorems on s. we study insertion of factors property and obtain basic results on equisemiprime ideals.
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کلیدواژه
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isomorphism theorems ,seminearring ,strong ideal
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آدرس
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manipal academy of higher education, manipal institute of technology, department of mathematics, india, manipal academy of higher education, manipal institute of technology, department of mathematics, india, manipal academy of higher education, manipal institute of technology, department of mathematics, india
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پست الکترونیکی
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syamprasad.k@manipal.edu
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Authors
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