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Volume 52
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Volume 51
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Volume 50
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Volume 49
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Volume
48
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Vietnam
Journal of Mathematics 38:1 (2010) 9-16
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On Ideals of Subtraction Semigroups
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G. Satheesh Kumar
and P. Dheena
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Abstract. In this paper we have derived
equivalent conditions for an ideal to be prime in a subtraction semigroup X. We have also shown that if I is an ideal of X with I  M
=  ,
where M is an m-system then I is contained in a prime ideal P with P  M
= .
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2000 Mathematics Subject Classification: 06F35.
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Keywords: Subtraction semigroup, prime ideal,
regular, strongly regular.
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by Vietnam Academy of Science and Technology & Vietnam Mathematical
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