SOME RESULTS ON SUBTRACTION ALGEBRAS

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

___

  • 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.