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WEAK FORMS OF SUBTRACTION ALGEBRAS
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 Title & Authors
WEAK FORMS OF SUBTRACTION ALGEBRAS
Lee, Kyoung-Ja; Jun, Young-Bae; Kim, Young-Hee;
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 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.
 Keywords
weak subtraction algebra;induced quasi-ordering;
 Language
English
 Cited by
1.
ORDER SYSTEMS, IDEALS AND RIGHT FIXED MAPS OF SUBTRACTION ALGEBRAS,;;;

대한수학회논문집, 2008. vol.23. 1, pp.1-10 crossref(new window)
2.
ANSWERS TO LEE AND PARK'S QUESTIONS,;

대한수학회논문집, 2012. vol.27. 1, pp.1-6 crossref(new window)
1.
SOFT WS-ALGEBRAS, Communications of the Korean Mathematical Society, 2008, 23, 3, 313  crossref(new windwow)
2.
ORDER SYSTEMS, IDEALS AND RIGHT FIXED MAPS OF SUBTRACTION ALGEBRAS, Communications of the Korean Mathematical Society, 2008, 23, 1, 1  crossref(new windwow)
3.
ANSWERS TO LEE AND PARK'S QUESTIONS, Communications of the Korean Mathematical Society, 2012, 27, 1, 1  crossref(new windwow)
 References
1.
J. C. Abbott, Sets, Lattices, and Boolean Algebras, Allyn and Bacon, Inc., Boston, Mass. 1969

2.
G. Birkhoff, Lattice Theory, Third edition. American Mathematical Society Colloquium Publications, Vol. XXV American Mathematical Society, Providence, R.I. 1967

3.
Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn. 65 (2007), no. 1, 129-134

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Y. B. Jun, H. S. Kim, and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. 61 (2005), no. 3, 459-464

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Y. B. Jun and K. H. Kim, Prime and irreducible ideals in subtraction algebras, Ital. J. Pure Appl. Math. (submitted)

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B. M. Schein, Difference semigroups, Comm. Algebra 20 (1992), no. 8, 2153-2169 crossref(new window)

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B. Zelinka, Subtraction semigroups, Math. Bohem. 120 (1995), no. 4, 445-447