• Communications of the Korean Mathematical Society
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• v.34 no.2
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• pp.375-381
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• 2019

In this paper, we introduce an operation denoted by [$Br_e$], a bracket operation, which maps an arbitrary groupoid ($X,{\ast}$) on a set X to another groupoid $(X,{\bullet})=[Br_e](X,{\ast})$ which on groups corresponds to sending a pair of elements (x, y) of X to its commutator $xyx^{-1}y^{-1}$. When applied to classes such as d-algebras, BCK-algebras, a variety of results is obtained indicating that this construction is more generally useful than merely for groups where it is of fundamental importance.

• The Mathematical Education
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• v.24 no.1
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• pp.7-9
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• 1985

• East Asian mathematical journal
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• v.23 no.1
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• pp.75-82
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• 2007

In this paper we give a concrete computational method to characterize $S_3$-algebras.

• East Asian mathematical journal
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• v.9 no.1
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• pp.127-132
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• 1993

• Journal of Korea Far Infrared Association
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• s.16
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• pp.21-30
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• 2003

• Korean Journal of Pharmacognosy
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• v.39 no.4
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• pp.271-289
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• 2008

In the Oriental Medicine field the great three reference books are Hwantienaekyung(黃帝內徑, HJNK), Sihnnongbonchokyung(神農本草經, BCK) and Shanghanlun(SHR). HJNK has been a theory book regarded as a bible of the Oriental Medicine, BCK, a herbal book with 365 species of red letters noticed from Bonchokyungjipjoo(本草經集註) and SHR, very important clinical book with concrete prescriptions for the therapy of patients. Though these books were written by Chinese people ca. 2000 years ago, yet they are no doubt very important and effective ones in these days. Unfortunately they are handed down to all transmitted books for a long times because original ones were destroyed by fire and another troubles. In this study we have tried to extract three common terminological words and common theories from the prescription law by theoretical principles(理法方藥, clinical therapeutic mechanism) acquired through the comparative analysis of these three books. They are qi(氣), cold or heat(寒熱) and yin & yang(陰陽), and their practical basic theories have been evidenced through exterior & interior of body(表裏) and deficiency or exessiveness(虛實) by the heat of Sun. Also we would have realized that Oriental Medicine should be analyzed through various scientific techniques and clinical experiences, and necessarily unified to yin & yang monism from qi theory of the Sun in all human's life cycle(生老病死).

• Journal of applied mathematics & informatics
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• v.7 no.2
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• pp.685-692
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• 2000

We introduce the notion of T-fuzzy circled subalgebras, and obtain some related results.

• Honam Mathematical Journal
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• v.34 no.2
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• pp.263-271
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• 2012

Any BCK-ideal of a BCC-algebra can be decomposed into the union of some sets. The notion of a complicatedness and a derivation for a BCC-algebra is introduced and some related properties are obtained.

• Honam Mathematical Journal
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• v.29 no.2
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• pp.289-297
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• 2007

In this paper, we show that BCI-algebras P and Q are injective if and only if its direct sum P $\oplus$ Q is injective. Moreover, we obtain the equivalent conditions for a p-semisimple BCI-algebra to be p-injective.

• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.33-41
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• 1999

In this paper, we introduce a new notion, called an QS-algebra, which is related to the areas of BCI/BCK-algebras and discuss the G-part of QS-algebras.