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N-IDEALS OF SUBTRACTION ALGEBRAS

전영배|소금숙|Jacob Kavikumar
대한수학회 (The Korean Mathematical Society)|2010.04|대한수학회논문집 (Communications of the KMS)|제25권 제2호|pp. 173-184

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참고문헌

키워드

subtraction algebraN-subalgebraN-idealcreated N-ideal.
주제분류수학

초록

Using N-structures, the notion of an N-ideal in a subtraction algebra is introduced. Characterizations of an N-ideal are discussed. Conditions for an N-structure to be an N-ideal are provided. The description of a created N-ideal is established.

Abstract

Using N-structures, the notion of an N-ideal in a subtraction algebra is introduced. Characterizations of an N-ideal are discussed. Conditions for an N-structure to be an N-ideal are provided. The description of a created N-ideal is established.

참고문헌 (7)

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

관련 논문AI추천

THE ESSENCE OF SUBTRACTION ALGEBRAS BASED ON N-STRUCTURES이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제1호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호Order systems, ideals and right fixed maps of subtraction algebras노은환, 박철환, 전영배대한수학회 · 대한수학회논문집2008 · 제23권 제1호Bipolar 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 제4호

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