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THE ESSENCE OF SUBTRACTION ALGEBRAS BASED ON N-STRUCTURES

전영배|이경자
대한수학회 (The Korean Mathematical Society)|2012.01|대한수학회논문집 (Communications of the KMS)|제27권 제1호|pp. 15-22

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키워드

subtraction algebraN-subalgebraN-idealN-essence
주제분류수학

초록

Using ${\mathcal N}$-structures, the notion of an ${\mathcal N}$-essence in a subtraction algebra is introduced, and related properties are investigated. Relations among an ${\mathcal N}$-ideal, an ${\mathcal N}$-subalgebra and an ${\mathcal N}$-essence are investigated.

Abstract

Using ${\mathcal N}$-structures, the notion of an ${\mathcal N}$-essence in a subtraction algebra is introduced, and related properties are investigated. Relations among an ${\mathcal N}$-ideal, an ${\mathcal N}$-subalgebra and an ${\mathcal N}$-essence are investigated.

참고문헌 (9)

  1. J. C. Abbott, "Sets, Lattices and Boolean Algebras" (1969), Allyn and Bacon, Inc
  2. 전영배, "N-IDEALS OF SUBTRACTION ALGEBRAS", 대한수학회논문집, 25(2), pp.173~184 (2010), 대한수학회
  3. Y. B. Jun, "On ideals in subtraction algebras", Sci. Math. Jpn, 65(1), pp.129~134 (2007)
  4. Y. B. Jun, "The essence of subtraction algebras", Sci. Math. Jpn, 64(3), pp.601~606 (2006)
  5. Y. B. Jun, "Ideal theory of subtraction algebras", Sci. Math. Jpn, 61(3), pp.459~464 (2005)
  6. Young Bae Jun, "N-IDEALS OF BCK", BCI-ALGERBAS, 2009, pp.22(3), 417~437[DOI]
  7. 전영배, "Order systems, ideals and right fixed maps of subtraction algebras", 대한수학회논문집, 23(1), pp.1~10 (2008), 대한수학회
  8. B. M. Schein, "Difference semigroups", Comm. Algebra, 20(8), pp.2153~2169 (1992)
  9. B. Zelinka, "Subtraction semigroups", Math. Bohem, 120(4), pp.445~447 (1995)

관련 논문AI추천

N-IDEALS OF SUBTRACTION ALGEBRAS소금숙, 전영배, Jacob Kavikumar대한수학회 · 대한수학회논문집2010 · 제25권 제2호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호Bipolar fuzzy ideals of subtraction algebras박철환, 이경자, 전영배장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2011 · 제14권 제4호Derivations on subtraction algebrasMehmet Ali Öztürk, Yilmaz Ceven대한수학회 · 대한수학회논문집2009 · 제24권 제4호Coupled N-structures applied to ideals in d-algebras고정미, 안선신대한수학회 · 대한수학회논문집2013 · 제28권 제4호N-SUBALGEBRAS OF TYPE (∈, ∈ ∨ q) BASED ON POINT N-STRUCTURES IN BCK/BCI-ALGEBRAS이경자, 전영배, Xiaohong Zhang대한수학회 · 대한수학회논문집2012 · 제27권 제3호

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