In this paper, we introduce the concept of normal ideal of a subtractionalgebra and study properties in connection with multiplies of subtraction algebras. The image and inverse image of a normal ideal of a subtraction algebra are proved to be again normal ideals. Also, we characterize the normal ideals of direct products of subtraction algebras.Finally, the concept of a weak congruence is introduced in subtractionalgebras and obtain an interconnection between multipliers and weakcongruences.
Abbott, J. C. S ets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969.
Firat,A. On f -derivations of BCC-algebras, Ars Combinatoria, XCVIIA, 377–382, 2010. Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M., Scott, D. S. A Compendium of Continuous Lattices, Springer-Verlag, NewYork, 2003.
Larsen, R. An Introduction to the Theory of Multipliers, Berlin: Springer-Verlag, 1971.
Prabpayak C., and Leerawat, U. On derivations of BCC-algebras, Kasetsart J. 43, 398–401, 200 Schein, B. M. D ifference Semigroups, Comm. in Algebra 20, 2153–2169, 1992.
Yon, Y. H., and Kim, K. H.M ultipliers in subtraction algebras, Scientiae Mathematicae Japonicae, 73 (2-3), 117–123, 2011.
Zelinka, B. S ubtraction Semigroups, Math. Bohemica, 120, 445–447, 1995.
A note on Multipliers of Subtraction Algebras
Year 2013,
Volume: 42 Issue: 2, 165 - 171, 01.02.2013
Abbott, J. C. S ets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969.
Firat,A. On f -derivations of BCC-algebras, Ars Combinatoria, XCVIIA, 377–382, 2010. Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M., Scott, D. S. A Compendium of Continuous Lattices, Springer-Verlag, NewYork, 2003.
Larsen, R. An Introduction to the Theory of Multipliers, Berlin: Springer-Verlag, 1971.
Prabpayak C., and Leerawat, U. On derivations of BCC-algebras, Kasetsart J. 43, 398–401, 200 Schein, B. M. D ifference Semigroups, Comm. in Algebra 20, 2153–2169, 1992.
Yon, Y. H., and Kim, K. H.M ultipliers in subtraction algebras, Scientiae Mathematicae Japonicae, 73 (2-3), 117–123, 2011.
Zelinka, B. S ubtraction Semigroups, Math. Bohemica, 120, 445–447, 1995.
Lee, S. D., & Kim, K. H. (2013). A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics, 42(2), 165-171.
AMA
Lee SD, Kim KH. A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics. February 2013;42(2):165-171.
Chicago
Lee, Sang Deok, and Kyung Ho Kim. “A Note on Multipliers of Subtraction Algebras”. Hacettepe Journal of Mathematics and Statistics 42, no. 2 (February 2013): 165-71.
EndNote
Lee SD, Kim KH (February 1, 2013) A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics 42 2 165–171.
IEEE
S. D. Lee and K. H. Kim, “A note on Multipliers of Subtraction Algebras”, Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 2, pp. 165–171, 2013.
ISNAD
Lee, Sang Deok - Kim, Kyung Ho. “A Note on Multipliers of Subtraction Algebras”. Hacettepe Journal of Mathematics and Statistics 42/2 (February 2013), 165-171.
JAMA
Lee SD, Kim KH. A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics. 2013;42:165–171.
MLA
Lee, Sang Deok and Kyung Ho Kim. “A Note on Multipliers of Subtraction Algebras”. Hacettepe Journal of Mathematics and Statistics, vol. 42, no. 2, 2013, pp. 165-71.
Vancouver
Lee SD, Kim KH. A note on Multipliers of Subtraction Algebras. Hacettepe Journal of Mathematics and Statistics. 2013;42(2):165-71.