Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SUBTRACTION ALGEBRAS WITH ADDITIONAL CONDITIONS

  • Jun, Young-Bae (Department of Mathematics Education(And Rins) Gyeongsang National University) ;
  • Kim, Young-Hee (Department of Mathematics Chungbuk National University) ;
  • Oh, Kyong-Ah (Department of Mathematics Chungbuk National University)
  • Published : 2007.01.31
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Abstract

Subtraction algebras with additional conditions, so called complicated subtraction algebras, are introduced, and several properties are investigated. In a complicated subtraction algebra, characterizations of ideals are provided, and showed that the set of all ideals in a complicated subtraction algebra is a complete lattice.

Keywords

References

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Cited by

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  2. ORDER SYSTEMS, IDEALS AND RIGHT FIXED MAPS OF SUBTRACTION ALGEBRAS vol.23, pp.1, 2008, https://doi.org/10.4134/CKMS.2008.23.1.001
  3. ANSWERS TO LEE AND PARK'S QUESTIONS vol.27, pp.1, 2012, https://doi.org/10.4134/CKMS.2012.27.1.001
  4. DERIVATIONS ON SUBTRACTION ALGEBRAS vol.24, pp.4, 2009, https://doi.org/10.4134/CKMS.2009.24.4.509
  5. d-ALGEBRAS WITH COMPLICATED CONDITION vol.31, pp.4, 2009, https://doi.org/10.5831/HMJ.2009.31.4.489
  6. -derivations on complicated subtraction algebras vol.20, pp.8, 2017, https://doi.org/10.1080/09720529.2017.1308663