DOI QR코드

DOI QR Code

A NOTE ON COMPLICATED SUBTRACTION ALGEBRAS

  • Roh, Eun-Hwan
  • Received : 2007.07.05
  • Accepted : 2007.08.09
  • Published : 2007.09.25

Abstract

We provided characterizations of complicated in a subtraction algebra, and we showed that the complicated subtraction algebra is a ring.

Keywords

complicated subtraction algebra;ring

References

  1. J. C. Abbott, Sets, Lattices and Boolean Algebras, Allyn and Bacon, Boston 1969.
  2. G. Birkhoff, Lattice Theory, Amer. Math. Soc. Colloq. Publ., Vol. 25, second edition 1984; third edition, 1967, Providence.
  3. G. Gratzer, Universal Algebra, 2nd edition, Springer-Verlag, New York Inc., 1979.
  4. Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn. (submitted)
  5. Y. B. Jun, H. S. Kim and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn. Online e-2004 (2004), 397-402.
  6. Y. B. Jun and K. H. Kim, Prime and irreducible ideals in subtraction algebras, Ital. J. Pure Appl. Math. (submitted)
  7. Y. B. Jun, K. H. Kim and K. A. Oh, Subtraction algebras with additional conditions, Commum. Korean Math. Soc. 22(1) (2007), 1-7. https://doi.org/10.4134/CKMS.2007.22.1.001
  8. Y. H. Kim and E. H. Roh, Neutral subtraction algebras, Honam Mathematical J. bf 28(1) (2006),23-29.
  9. K. H. Kim, E. H. Roh and Y. H. Yon, A note on subtraction algebras, Sci. Math. Jpn. Online 10 (2004), 393-401.
  10. E. H. Roh, Prime ideals in subtraction algebras, Honam Mathematical J. bf 28(3) (2006), 327-332.
  11. B. M. Schein, Difference Semigroups, Comm. Algebra 20 (1992), 2153-2169. https://doi.org/10.1080/00927879208824453
  12. B. Zelinka, Subtraction Semigroups, Math. Bohemica, 120 (1995), 445-447.

Cited by

  1. SUBDIRECT SUM OF SUBTRACTION ALGEBRAS vol.31, pp.1, 2009, https://doi.org/10.5831/HMJ.2009.31.1.011