Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ANNIHILATORS OF SUBTRACTION ALGEBRAS

  • JUN, YOUNG BAE (Department of Mathematics Education (and RINS) Gyeongsang National University)
  • Received : 2005.05.11
  • Published : 2005.09.25
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Abstract

A characterization of prime ideals is discussed. A relation between prime ideals and ideals of the form $A_w^{\wedge}$ is given. The prime ideal theorem is established. The notion of annihilators is introduced, and basic properties are investigated.

Keywords

References

  1. Sets, Lattices and Boolean Algebras Abbott, J.C.
  2. Sci. Math. Japon. On ideals in subtraction algebras Jun, Y.B.;Kim, H.S.
  3. Sci. Math. Japon. Ideal theory of subtraction algebras Jun, Y.B.;Kim, H.S.;Roh, E.H.
  4. Internat. J. Math. & Math. Sci. Prime and irreducible ideals in subtraction algebras Jun, Y.B.;Kim, K.H.
  5. Math. Bohemica v.128 Subtraction algebras and BCK-algebras Kim, Y.H.;Kim, H.S.
  6. Comm. in Algebra v.20 Difference Semigroups Schein, B.M.
  7. Math. Bohemica v.120 Subtraction Semigroups Zelinka, B.