• 대한수학회논문집
• /
• 제28권2호
• /
• pp.225-229
• /
• 2013

According to the paper in [3], the kernel of an ordered semigroup S is a completely regular subsemigroup of S. In this note we show that the kernel of an ordered semigroup S is not a completely regular subsemigroup of S, in general.

• Korean Journal of Mathematics
• /
• 제23권3호
• /
• pp.457-478
• /
• 2015

In this paper we propose an iteration hybrid method for approximating a point in the intersection of the solution-sets of pseudomonotone equilibrium and variational inequality problems and the fixed points of a semigroup-nonexpensive mappings in Hilbert spaces. The method is a combination of projection, extragradient-Armijo algorithms and Manns method. We obtain a strong convergence for the sequences generated by the proposed method.

• 대한수학회보
• /
• 제44권2호
• /
• pp.359-367
• /
• 2007

We consider the intuitionistic fuzzification of the concept of several ${\Gamma}$-ideals in a ${\Gamma}$-semigroup S, and investigate some properties of such ${\Gamma}$-ideals.

• 대한수학회보
• /
• 제44권2호
• /
• pp.369-378
• /
• 2007

We classify all semigroups each of which arises as a Weierstrass semigroup at a pair of inflection points of multiplicities d or d-1 on a smooth plane curve of degree d.

• 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 $m,n{\geq}3$.

• 충청수학회지
• /
• 제11권1호
• /
• pp.173-183
• /
• 1998

In this paper, we introduce the pan-generalized fuzzy integral of a commutative isotonic semigroup-valued function, which is generalization of the (G) fuzzy integral and investigate the fundamental properties of this kind of fuzzy integral.

• 한국지능시스템학회논문지
• /
• 제16권3호
• /
• pp.338-348
• /
• 2006

We classify the 3-classes In the semigroup M$_5$(F) of all 5$\times$5 Boolean matrices over F=(0,1).

• 대한수학회보
• /
• 제57권3호
• /
• pp.661-676
• /
• 2020

To understand the interaction of a fluid and a rigid body, we use the concept of B-evolution. Then in a similar way to the usual Navier-Stokes system, we obtain a Helmholtz type decomposition. Using B-evolution theory and the decomposition, we work on the semigroup to analyze the linear part of the system.

• 한국지능시스템학회논문지
• /
• 제19권4호
• /
• pp.592-594
• /
• 2009

In this paper we consider voting analysis in the political science in connection with $B_n$(or $M_n${0, 1}), the semigroup of the binary relations on X with n elements. We also consider it in connection with $M_n$(F) (or $B_n$(F)), the semigroup of all fuzzy binary relations on X. Also we establish a possibility theorem and an impossibility theorem in voting analysis based on preferences in $B_n$ and $M_n$(F).

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제14권3호
• /
• pp.139-151
• /
• 2007

We introduce the concept of intuitionistic fuzzy semiprimality of a semigroup which is an extension of semiprimality in it. And we obtain a characterization of a semigroup that is a semilattice of simple semigroups in terms of intuitionistic fuzzy semiprime interior ideals.