Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 45 Issue 3
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- Pages.437-444
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- 2008
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
DOI QR Code
WEAK FORMS OF SUBTRACTION ALGEBRAS
- Lee, Kyoung-Ja (DEPARTMENT OF MATHEMATICS EDUCATION HANNAM UNIVERSITY) ;
- Jun, Young-Bae (DEPARTMENT OF MATHEMATICS EDUCATION(AND RINS) GYEONGSANG NATIONAL UNIVERSITY) ;
- Kim, Young-Hee (DEPARTMENT OF MATHEMATICS CHUNGBUK NATIONAL UNIVERSITY)
- Published : 2008.08.31
Abstract
As a weak form of a subtraction algebra, the notion of weak subtraction algebras is introduced, and its examples are given. A method to make a weak subtraction algebra from a quasi-ordered set is provided.
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References
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- Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn. 65 (2007), no. 1, 129-134
- Y. B. Jun, H. S. Kim, and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. 61 (2005), no. 3, 459-464
- Y. B. Jun and K. H. Kim, Prime and irreducible ideals in subtraction algebras, Ital. J. Pure Appl. Math. (submitted)
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Cited by
- SOFT WS-ALGEBRAS vol.23, pp.3, 2008, https://doi.org/10.4134/CKMS.2008.23.3.313
- ORDER SYSTEMS, IDEALS AND RIGHT FIXED MAPS OF SUBTRACTION ALGEBRAS vol.23, pp.1, 2008, https://doi.org/10.4134/CKMS.2008.23.1.001
- ANSWERS TO LEE AND PARK'S QUESTIONS vol.27, pp.1, 2012, https://doi.org/10.4134/CKMS.2012.27.1.001