SOME RESULTS ON SUBTRACTION ALGEBRAS

Yilmaz Çeven; M.a. Öztürk

Research Article

Year 2009, Volume: 38 Issue: 3, 299 - 304, 01.03.2009

Yilmaz Çeven M.a. Öztürk

Abstract

References

Abbott, J. C. Sets, Lattices and Boolean Algebras (Allyn and Bacon, Boston, 1969).
Jun, Y. B., Kim, H. S. and Roh, E. H. Ideal theory of subtraction algebras, Sci. Math. Jpn. Online e-2004, 397–402, 2004.
Jun, Y. B. and Kim, H. S. On ideals in subtraction algebras, Sci. Math. Jpn. Online e-2006, 1081–1086, 2006.
Jun, Y. B., Kim, Y. H. and Oh, K. A. Subtraction algebras with additional conditions, Com- mun. Korean Math. Soc. 22 (1), 1–7, 2007.
Jun, Y. B. and Kim, K. H. Prime and irreducible ideals in subtraction algebras, International Mathematical Forum 3 (10), 457–462, 2008.
Lee, K. J., Jun, Y. B. and Kim, Y. H. Weak forms of subtraction algebras, Bull. Korean Math. Soc. 45, 437–444, 2008.
Schein, B. M. Difference semigroups, Comm. in Algebra 20, 2153-2169, 1992.
Zelinka, B. Subtraction semigroups, Math. Bohemica 120, 445–447, 1995.

SOME RESULTS ON SUBTRACTION ALGEBRAS

Year 2009, Volume: 38 Issue: 3, 299 - 304, 01.03.2009

Yilmaz Çeven M.a. Öztürk

Abstract

In this paper, some additional concepts relating to subtraction algebras, the so called subalgebra, bounded subtraction algebra and unions
of subtraction algebras, are introduced, and some properties are investigated.

Keywords

Subtraction algebra, Subalgebra, Bounded subtraction algebra, 2000 AMS Classification, 03 G 25, 06 B 10, 06 D 99

References

Abbott, J. C. Sets, Lattices and Boolean Algebras (Allyn and Bacon, Boston, 1969).
Jun, Y. B., Kim, H. S. and Roh, E. H. Ideal theory of subtraction algebras, Sci. Math. Jpn. Online e-2004, 397–402, 2004.
Jun, Y. B. and Kim, H. S. On ideals in subtraction algebras, Sci. Math. Jpn. Online e-2006, 1081–1086, 2006.
Jun, Y. B., Kim, Y. H. and Oh, K. A. Subtraction algebras with additional conditions, Com- mun. Korean Math. Soc. 22 (1), 1–7, 2007.
Jun, Y. B. and Kim, K. H. Prime and irreducible ideals in subtraction algebras, International Mathematical Forum 3 (10), 457–462, 2008.
Lee, K. J., Jun, Y. B. and Kim, Y. H. Weak forms of subtraction algebras, Bull. Korean Math. Soc. 45, 437–444, 2008.
Schein, B. M. Difference semigroups, Comm. in Algebra 20, 2153-2169, 1992.
Zelinka, B. Subtraction semigroups, Math. Bohemica 120, 445–447, 1995.

There are 8 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Mathematics
Authors	Yilmaz Çeven This is me M.a. Öztürk This is me
Publication Date	March 1, 2009
Published in Issue	Year 2009 Volume: 38 Issue: 3

Cite

APA	Çeven, Y., & Öztürk, M. (2009). SOME RESULTS ON SUBTRACTION ALGEBRAS. Hacettepe Journal of Mathematics and Statistics, 38(3), 299-304.
AMA	Çeven Y, Öztürk M. SOME RESULTS ON SUBTRACTION ALGEBRAS. Hacettepe Journal of Mathematics and Statistics. March 2009;38(3):299-304.
Chicago	Çeven, Yilmaz, and M.a. Öztürk. “SOME RESULTS ON SUBTRACTION ALGEBRAS”. Hacettepe Journal of Mathematics and Statistics 38, no. 3 (March 2009): 299-304.
EndNote	Çeven Y, Öztürk M (March 1, 2009) SOME RESULTS ON SUBTRACTION ALGEBRAS. Hacettepe Journal of Mathematics and Statistics 38 3 299–304.
IEEE	Y. Çeven and M. Öztürk, “SOME RESULTS ON SUBTRACTION ALGEBRAS”, Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 3, pp. 299–304, 2009.
ISNAD	Çeven, Yilmaz - Öztürk, M.a. “SOME RESULTS ON SUBTRACTION ALGEBRAS”. Hacettepe Journal of Mathematics and Statistics 38/3 (March 2009), 299-304.
JAMA	Çeven Y, Öztürk M. SOME RESULTS ON SUBTRACTION ALGEBRAS. Hacettepe Journal of Mathematics and Statistics. 2009;38:299–304.
MLA	Çeven, Yilmaz and M.a. Öztürk. “SOME RESULTS ON SUBTRACTION ALGEBRAS”. Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 3, 2009, pp. 299-04.
Vancouver	Çeven Y, Öztürk M. SOME RESULTS ON SUBTRACTION ALGEBRAS. Hacettepe Journal of Mathematics and Statistics. 2009;38(3):299-304.