• 대순사상논총
• /
• 제22권
• /
• pp.277-316
• /
• 2014

Many ideas which have appear in human history ought to be fruits of the relevant time, however they sometimes reveal new meaning. Daesoon idea is like that, and anarchism also has been resurgent today according to the demand of the time. Both ideas aim at an ideal society. They are not codes of conduct by specific ideology, but are the spirit of resistance against all kinds of oppression, i.e. which began from human nature. Anarchism refuses intellectual revolution theory or idea, but it wants only the life of human nature. Therefore, in spite of the diversity of its historic type, anarchism is in the same discussion as idealism e.g. religion, politics, etc. which have seek the essence of human life. Daesoon idea, as well, begins from religious idealism, it kindles the same discussion as anarchism. Particularly, anarchism is receiving attention with its spirituality of the new century. If so, it will be a critical help for the development of Daesoon idea to consider such newness through a conversation with anarchism. A comparison between Daesoon idea and anarchism is mainly a conversation about the ideology of ideal society. The researcher intended to investigate the viewpoint of anarchism in terms of comparing its personality, society and nation with Daesun idea, though it was not easy work since the ideological genealogy of anarchism is various. Both of them have a mental attitude, i.e. 'essential resistance', on the basis of such introspection. The spirit of resistance is an essence of man and the right of resistance is a basic human rights that insist the dignity of man. When the right of resistance reaches the essence of human life, it becomes an ideal thought and religion. Also, the ideal can be finally realized when the spirit of resistance becomes the power of practice by actualizing it as the right of resistance.

• Kyungpook Mathematical Journal
• /
• 제46권3호
• /
• pp.357-365
• /
• 2006

This paper is a sequel of our previous paper [1]. In this paper, we introduce the notions of regular ideal and partial ideal ($p$-ideal) in a ternary semiring and using these two notions we characterize regular ternary semiring.

• 대한수학회지
• /
• 제42권1호
• /
• pp.53-63
• /
• 2005

Let R be a ring R and ${\sigma}$ be an endomorphism of R. R is called ${\sigma}$-rigid (resp. reduced) if $a{\sigma}r(a) = 0 (resp{\cdot}a^2 = 0)$ for any $a{\in}R$ implies a = 0. An ideal I of R is called a ${\sigma}$-ideal if ${\sigma}(I){\subseteq}I$. R is called ${\sigma}$-quasi-Baer (resp. right (or left) ${\sigma}$-p.q.-Baer) if the right annihilator of every ${\sigma}$-ideal (resp. right (or left) principal ${\sigma}$-ideal) of R is generated by an idempotent of R. In this paper, a skew polynomial ring A = R[$x;{\sigma}$] of a ring R is investigated as follows: For a ${\sigma}$-rigid ring R, (1) R is ${\sigma}$-quasi-Baer if and only if A is quasi-Baer if and only if A is $\={\sigma}$-quasi-Baer for every extended endomorphism $\={\sigma}$ on A of ${\sigma}$ (2) R is right ${\sigma}$-p.q.-Baer if and only if R is ${\sigma}$-p.q.-Baer if and only if A is right p.q.-Baer if and only if A is p.q.-Baer if and only if A is $\={\sigma}$-p.q.-Baer if and only if A is right $\={\sigma}$-p.q.-Baer for every extended endomorphism $\={\sigma}$ on A of ${\sigma}$.

• Kyungpook Mathematical Journal
• /
• 제52권4호
• /
• pp.375-381
• /
• 2012

We introduce the concepts of ordered quasi-ideals, ordered bi-ideals in an ordered ternary semigroup and study their properties. Also regular ordered ternary semigroup is defined and several ideal-theoretical characterizations of the regular ordered ternary semigroups are furnished.

• 대한수학회지
• /
• 제51권3호
• /
• pp.495-507
• /
• 2014

Nielsen and Rege-Chhawchharia called a ring R right McCoy if given nonzero polynomials f(x), g(x) over R with f(x)g(x) = 0, there exists a nonzero element r ${\in}$ R with f(x)r = 0. Hong et al. called a ring R strongly right McCoy if given nonzero polynomials f(x), g(x) over R with f(x)g(x) = 0, f(x)r = 0 for some nonzero r in the right ideal of R generated by the coefficients of g(x). Subsequently, Kim et al. observed similar conditions on linear polynomials by finding nonzero r's in various kinds of one-sided ideals generated by coefficients. But almost all results obtained by Kim et al. are concerned with the case of products of linear polynomials. In this paper we examine the nonzero annihilators in the products of general polynomials.

• 대한수학회논문집
• /
• 제33권1호
• /
• pp.37-44
• /
• 2018

We prove some theorems showing that a right Jordan ideal or a left Jordan ideal of a 3-prime near-ring must be commutative if it admits a nonzero derivation acting as a homomorphism or an antihomomorphism. Moreover, we give examples proving necessity of the conditions given.

• 대한수학회보
• /
• 제35권4호
• /
• pp.615-624
• /
• 1998

We consider a generalization of [1. theorem 2.5]. We give a description of the element of $_{\mathcal I}^l$(resp. $_{\mathcal I} ^r$), where A and B are left (resp. right)${\mathcal I}$-ideals of an IS-algebra X. For a nonempty left (resp. right) stable, we obtain a condition for $_{\mathcal I}^l$(resp. $_{\mathcal I}^l$) to be closed. We give a characterization of a closed $\mathcal I$-ideal in an IS-algebra, and show that in a finite IS-algebra, every $\mathcal I$-ideal is closed.

• Korean Journal of Mathematics
• /
• 제26권1호
• /
• pp.143-153
• /
• 2018

In this paper, we define 0-minimal (m, n)-ideals in an LA-semigroup ${\mathcal{S}}$ and prove that if R(L) is a 0-minimal right (left) ideal of S, then either $R^mL^n=\{0\}$ or $R^mL^n$ is a 0-minimal (m, n)-ideal of S for $m,n{\geq}3$.

• Journal of applied mathematics & informatics
• /
• 제29권3_4호
• /
• pp.1007-1010
• /
• 2011

In this paper, we begin with some basic concepts of substructures of near-rings, and then using some right substructures of near-rings, we may define the right semidirect sum of near-rings. Next, we investigate that every near-ring can be decomposed with right semidirect sum of right ideal by right R-subgroup, and then give some examples.

• 대한수학회논문집
• /
• 제13권1호
• /
• pp.123-129
• /
• 1998

In this paper, we study some dynamical properties of a weakly almost periodic flow. In particular we get, in a weakly almost periodic flow (X,T), the groups I and A(I) of all automorphisms of I are isomorphic, where E(X) is the enveloping semigroup of (X,T) and I is the minimal right ideal in E(X).