논문KCI 등재
Weakly prime left ideals in near-subtraction semigroups
대한수학회 (The Korean Mathematical Society)|2008.07|대한수학회논문집 (Communications of the KMS)|제23권 제3호|pp. 325-331
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In this paper we introduce the notion of weakly prime left ideals in near-subtraction semigroups. Equivalent conditions for a left ideal to be weakly prime are obtained. We have also shown that if (M, L) is a weak m*-system and if P is a left ideal which is maximal with respect to containing L and not meeting M, then P is weakly prime.
Abstract
In this paper we introduce the notion of weakly prime left ideals in near-subtraction semigroups. Equivalent conditions for a left ideal to be weakly prime are obtained. We have also shown that if (M, L) is a weak m*-system and if P is a left ideal which is maximal with respect to containing L and not meeting M, then P is weakly prime.
참고문헌 (8)
- J. C. Abbott, "Sets, Lattices and Boolean Algebras" (1969), Allyn and Bacon
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- Y. B. Jun, "Ideal theory of subtraction algebras", Scientiae Mathematicae Japonicae, 61(3), pp.459~464 (2005)
- K. H. Kim, "On Subtraction Semigroups", Scientiae Mathematicae Japonicae, 62(2), pp.273~280 (2005)
- K. H. Kim, "A note on a subtraction semigroup", Scientiae Mathematicae Japonicae, 60(3), pp.451~459 (2004)
- E. H. Roh, "On Prime and Semiprime ideals in Subtraction Semigroups", Scientiae Mathematicae Japonicae, 61(2), pp.259~266 (2005)
- B. M. Schein, "Difference Semigroups", Communications in algebra, 20, pp.2153~2169 (1992)
- B. Zelinka, "Subtraction Semigroups", Math. Bohemica, 120, pp.445~447 (1995)
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