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CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS

Year 2011, Volume: 9 Issue: 9, 61 - 68, 01.06.2011

Ryûki Matsuda

Abstract

We pursue the work by M. Fontana, K.A. Loper and R. Matsuda. Let D be an integral domain, let F(D) (resp., f(D)) be the set of non-zero (resp., finitely generated) fractional ideals of D, let ? be a semistar operation on D. They showed that if ? satisfies (F F1)? = (F F2)? implies F?1 = F?2 for every F, F1, F2 ∈ f(D), then ? need not satisfy (F G1)? = (F G2)? implies G?1 = G?2 for every F ∈ f(D) and every G1, G2 ∈ F(D). In this paper, we show
its analogy for monoids.

Keywords

semistar operation monoid

Year 2011, Volume: 9 Issue: 9, 61 - 68, 01.06.2011

Ryûki Matsuda

Abstract

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Details

Other ID JA85DN74UN
Journal Section Articles
Authors

Ryûki Matsuda This is me

Publication Date June 1, 2011
Published in Issue Year 2011 Volume: 9 Issue: 9

Cite

APA Matsuda, R. (2011). CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. International Electronic Journal of Algebra, 9(9), 61-68.
AMA Matsuda R. CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. IEJA. June 2011;9(9):61-68.
Chicago Matsuda, Ryûki. “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”. International Electronic Journal of Algebra 9, no. 9 (June 2011): 61-68.
EndNote Matsuda R (June 1, 2011) CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. International Electronic Journal of Algebra 9 9 61–68.
IEEE R. Matsuda, “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”, IEJA, vol. 9, no. 9, pp. 61–68, 2011.
ISNAD Matsuda, Ryûki. “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”. International Electronic Journal of Algebra 9/9 (June 2011), 61-68.
JAMA Matsuda R. CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. IEJA. 2011;9:61–68.
MLA Matsuda, Ryûki. “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”. International Electronic Journal of Algebra, vol. 9, no. 9, 2011, pp. 61-68.
Vancouver Matsuda R. CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. IEJA. 2011;9(9):61-8.