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Structures of Pseudo Ideal and Pseudo Atom in a Pseudo Q-Algebra

전영배|김희식|안선신
경북대학교 자연과학대학 수학과|2016.03|Kyungpook Mathematical Journal|제56권 제1호|pp. 95-106

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참고문헌

키워드

pseudo atompseudo subalgebrapseudo idealpseudo Q-algebra.
주제분류수학

초록

As a generalization of Q-algebra,the notion of pseudo Q-algebra is introduced, and some of theirproperties are investigated. The notions of pseudo subalgebra,pseudo ideal, and pseudo atom in a pseudo Q-algebra areintroduced. Characterizations of their properties are provided.

Abstract

As a generalization of Q-algebra,the notion of pseudo Q-algebra is introduced, and some of theirproperties are investigated. The notions of pseudo subalgebra,pseudo ideal, and pseudo atom in a pseudo Q-algebra areintroduced. Characterizations of their properties are provided.

참고문헌 (15)

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  12. J. Meng, "BCK-algebras" (1994), Kyung Moon Sa
  13. D. Mundici, "MV -algebras are categorically equivalent to bounded commutative BCK-algebras", Math. Japon., 31, pp.889~894 (1986)
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관련 논문AI추천

Pseudo-BCI algebras전영배, Wieslaw A. Dudek영남수학회 · East Asian Mathematical Journal2008 · 제24권 제2호Cubic q-ideals of BCI-algebrasChang Su Kim, Jeong Gi Kang, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호Fuzzy Prime Ideals of Pseudo- LBCK-algebrasAndrzej Walendziak, Grzegorz Dymek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Int-soft Ideals of Pseudo MV-algebras Generated by a Soft Set김희식, 송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제3호ON MEDIAL Q-ALGEBRAS소금숙, 안선신대한수학회 · 대한수학회논문집2010 · 제25권 제3호N-SUBALGEBRAS AND N-IDEALS BASED ON A SUB-BCK-ALGEBRA OF A BCI-ALGEBRA이경자, 전영배대한수학회 · 대한수학회논문집2012 · 제27권 제4호

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