A Note on the Multiplicative Semigroups Z
n
Whose Bi-ideals Are Quasi-ideals |
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Authors: | Yupaporn Kemprasit Samruam Baupradist |
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Institution: | (1) Department of mathematics, Faculty of Science, Chulalongkorn University, Bangkok, 10330, Thailand |
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Abstract: | We show that for any positive integer n, the multiplicative semigroup Zn has the property that the set of bi-ideals and the set of quasi-ideals coincide if and only if either n = 4 or n is square-free.AMS Subject Classification (1991): 20M10 |
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Keywords: | quasi-ideals bi-ideals |
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