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characterizations of $j$-prime ideals and $m_{j}$-ideals in posets
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نویسنده
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elavarasan b ,john j catherine grace
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منبع
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journal of algebraic structures and their applications - 2022 - دوره : 9 - شماره : 2 - صفحه:149 -162
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چکیده
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In this paper, we introduce the concepts of j-prime ideals and mj -ideals in posets, and obtain some of their interesting characterizations in posets. furthermore, we discuss the properties of j-ideals that are analogous to j-prime ideals and mj -ideals in posets. finally, we establish a set of equivalent conditions for an ideal in a poset p containing an ideal j is an j-ideal, and for a semi-prime ideal j to be an mj -ideal of p.
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کلیدواژه
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ideal ,j-prime ideal ,mj -ideal ,m-system ,poset ,prime ideal
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آدرس
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karunya institute of technology and sciences, department of mathematics, india, karunya institute of technology and sciences, department of mathematics, india
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پست الکترونیکی
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catherine@karunya.edu
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Authors
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