• The Pure and Applied Mathematics
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• v.12 no.3 s.29
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• pp.193-209
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• 2005

We introduce the notions of intuitionistic fuzzy prime ideals, intuitionistic fuzzy completely prime ideals and intuitionistic fuzzy weakly completely prime ideals. And we give a characterization of intuitionistic fuzzy ideals and establish relationships between intuitionistic fuzzy completely prime ideals and intuitionistic fuzzy weakly completely prime ideals.

• The Pure and Applied Mathematics
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• v.18 no.1
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• pp.41-50
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• 2011

Based on the theory of falling shadows and fuzzy sets, the notion of a falling fuzzy commutative ideal of a BCK-algebra is introduced. Relations between falling fuzzy commutative ideals and falling fuzzy ideals are investigated.

• Bulletin of the Korean Mathematical Society
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• v.50 no.6
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• pp.1887-1903
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• 2013

We continue the study of McCoy condition to analyze zero-dividing polynomials for the constant annihilators in the ideals generated by the coefficients. In the process we introduce the concept of ideal-${\pi}$-McCoy rings, extending known results related to McCoy condition. It is shown that the class of ideal-${\pi}$-McCoy rings contains both strongly McCoy rings whose non-regular polynomials are nilpotent and 2-primal rings. We also investigate relations between the ideal-${\pi}$-McCoy property and other standard ring theoretic properties. Moreover we extend the class of ideal-${\pi}$-McCoy rings by examining various sorts of ordinary ring extensions.

• Bulletin of the Korean Mathematical Society
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• v.47 no.2
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• pp.385-399
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• 2010

Let $\sigma$ be an endomorphism and I a $\sigma$-ideal of a ring R. Pearson and Stephenson called I a $\sigma$-semiprime ideal if whenever A is an ideal of R and m is an integer such that $A{\sigma}^t(A)\;{\subseteq}\;I$ for all $t\;{\geq}\;m$, then $A\;{\subseteq}\;I$, where $\sigma$ is an automorphism, and Hong et al. called I a $\sigma$-rigid ideal if $a{\sigma}(a)\;{\in}\;I$ implies a $a\;{\in}\;I$ for $a\;{\in}\;R$. Notice that R is called a $\sigma$-semiprime ring (resp., a $\sigma$-rigid ring) if the zero ideal of R is a $\sigma$-semiprime ideal (resp., a $\sigma$-rigid ideal). Every $\sigma$-rigid ideal is a $\sigma$-semiprime ideal for an automorphism $\sigma$, but the converse does not hold, in general. We, in this paper, introduce the quasi $\sigma$-rigidness of ideals and rings for an automorphism $\sigma$ which is in between the $\sigma$-rigidness and the $\sigma$-semiprimeness, and study their related properties. A number of connections between the quasi $\sigma$-rigidness of a ring R and one of the Ore extension $R[x;\;{\sigma},\;{\delta}]$ of R are also investigated. In particular, R is a (principally) quasi-Baer ring if and only if $R[x;\;{\sigma},\;{\delta}]$ is a (principally) quasi-Baer ring, when R is a quasi $\sigma$-rigid ring.

• Journal of applied mathematics & informatics
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• v.31 no.1_2
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• pp.211-220
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• 2013

In defining a fuzzy strong ideal in BH-algebras, several degrees are provided, and then related properties are investigated.

• Journal of the Chungcheong Mathematical Society
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• v.26 no.4
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• pp.683-690
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• 2013

In this paper, we introduce the concept of a right derivation in incline algebras and give some properties of incline algebras. Also, the concept of d-ideal is introduced in an incline algebra with respect to right derivation.

• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.895-902
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• 1996

In this paper, we describe the ideal generated by non-empty stable set in a BCI-group as a simple form, and obtain an equivalent condition of prime Z-ideal.

• Journal of applied mathematics & informatics
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• v.12 no.1_2
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• pp.243-250
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• 2003

The fuzzification of (Positive implicative) pseudo-ideals in a pseudo-BCK algebra is discussed, and several properties are investigated. Characterizations of a fuzzy pseudo-ideal are displayed.

• Journal of the Korean Society of Costume
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• v.58 no.3
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• pp.131-148
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• 2008

Each stylistic period through history has its own unique look. The characteristic look of each period is completed and visualized with its prevailing ideologies, aesthetic consciousness and morality by means of 'form'. A period expresses its characteristics in accordance with form according to the widespread preferences of the time. Among the various cultural factors that form the look of the time, those that the period holds as ideal aesthetic values create the concept of 'ideal beauty' for that period. This study begins by establishing the conceptual definition of 'ideal beauty' and develops the premise that dress reflected ideal beauty. To attain the goal of the study, the selected objects are dresses represented in paintings, the actual garments from the Renaissance to Baroque periods and written references about art, art history, and history of costume. The results, based upon a theoretical study of the zeitgeist and aesthetic values of the 16th and 17th centuries, are as follows: first, ideal beauty influences the substance and form that constitute dress style. It is a byproduct of the spirit of time, the zeitgeist. The concept of ideal beauty is born within the lifestyle pursued by the ruling class and focuses on the body as an epitome of beauty, moral values, custom, lifestyle and taste as it becomes visualized via form. Second, the aspect of dress representing the ideal beauty of particular time varied according to the times. In both periods, power and dignity were used to achieve the ideal aesthetic values. In the Renaissance, power was expressed by the horizontal extension of dress (i.e. wide farthingales and sleeves) and in the Baroque period, by vertical extension (i.e. long and tall wigs, fontanges and trains). It can be said that fashion in both periods achieved an ideal, such as power and dignity, via the same means, by extending dress sizes, but the ways in which those ideals were portrayed in each period's dress yielded very contrary styles. It is understood through this study that ideal beauty influenced the dress style of the Renaissance and Baroque periods and played a decisive role in determining its forms and symbolic meanings.

• Structural Engineering and Mechanics
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• v.65 no.1
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• pp.69-79
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• 2018

This paper is devoted to two new techniques for free vibration analysis of concrete arch dam-reservoir systems. The proposed schemes are quadratic ideal-coupled eigen-problems, which can solve the originally non-symmetric eigen-problem of the system. To find the natural frequencies and mode shapes, a new special-purpose eigen-value solution routine is developed. Moreover, the accuracy of the proposed approach is thoroughly assessed, and it is confirmed that the new scheme is very accurate under all practical conditions. It is also concluded that both decoupled and ideal-coupled strategy proposed in the previous works can be considered as special cases of the current more general procedure.