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CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS

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

Ryûki Matsuda

https://izlik.org/JA53PA96PU

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

https://izlik.org/JA53PA96PU

Abstract

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Details

Other ID JA85DN74UN
Authors

Ryûki Matsuda This is me

Publication Date June 1, 2011
IZ https://izlik.org/JA53PA96PU
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. https://izlik.org/JA53PA96PU
AMA 1.Matsuda R. CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. IEJA. 2011;9(9):61-68. https://izlik.org/JA53PA96PU
Chicago Matsuda, Ryûki. 2011. “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”. International Electronic Journal of Algebra 9 (9): 61-68. https://izlik.org/JA53PA96PU.
EndNote Matsuda R (June 1, 2011) CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. International Electronic Journal of Algebra 9 9 61–68.
IEEE [1]R. Matsuda, “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”, IEJA, vol. 9, no. 9, pp. 61–68, June 2011, [Online]. Available: https://izlik.org/JA53PA96PU
ISNAD Matsuda, Ryûki. “CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS”. International Electronic Journal of Algebra 9/9 (June 1, 2011): 61-68. https://izlik.org/JA53PA96PU.
JAMA 1.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, June 2011, pp. 61-68, https://izlik.org/JA53PA96PU.
Vancouver 1.Ryûki Matsuda. CANCELLATION PROPERTIES IN IDEAL SYSTEMS OF MONOIDS. IEJA [Internet]. 2011 Jun. 1;9(9):61-8. Available from: https://izlik.org/JA53PA96PU