• 호남수학학술지
• /
• 제21권1호
• /
• pp.139-147
• /
• 1999

In this paper we generalize the definition of strongly close-to-convex functions by using the functions g(z) of bounded boundary rotation and investigate the distortion and rotation theorem, coefficient inequalities, invariance property and inclusion relation for the new class $G_{k}[A,\;B]$.

• 충청수학회지
• /
• 제18권2호
• /
• pp.117-129
• /
• 2005

We give a generalization of bilateral mock theta functions of order eight and show that they are $F_q$-functions. We also give an integral representation for these functions. We give a relation between mock theta functions of the first set and bilateral mock theta functions of the second set.

• 충청수학회지
• /
• 제22권3호
• /
• pp.459-466
• /
• 2009

The purpose of this paper is to study the some properties of fuzzy quasi-semiprime ideal, fuzzy prime ideals and to prove some fundamental properties of semigroups. In particular, we will establish a relation between fuzzy prime ideals and weakly completely semiprime ideals by using the some equivalent conditions of fuzzy semiprime ideals.

• 충청수학회지
• /
• 제22권3호
• /
• pp.593-596
• /
• 2009

In this short note, we explicate a relation among Collet-Eckmann attractors, Lyapunov attractors and asymptotically stable attractors in the sense of J. Milnor[4].

• 대한수학회보
• /
• 제42권2호
• /
• pp.379-386
• /
• 2005

In this paper, we consider a collection of ideals of a difference algebra X. We use the concept of congruence relation with respect to ideals to construct a uniformity that induces a topology on X which makes this to a topological difference algebras. We study the properties of this topology regarding different ideals.

• 대한수학회보
• /
• 제34권4호
• /
• pp.519-524
• /
• 1997

We extent the notion of equivalent relation $\approx$ for Kac-Moody algebras to generalized Kac-Moody algebras and prove some analogues of results for Kac-Moody algebras.

• 대한수학회지
• /
• 제51권2호
• /
• pp.225-238
• /
• 2014

We apply modular function theory to find the relation among t-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in [1] because their relations are linear for t = 3 or 5.

• 충청수학회지
• /
• 제21권4호
• /
• pp.427-435
• /
• 2008

In this paper, we give some extensions of Dunford integral and Pettis integral, C-Dunford integral and C-Pettis integral. We also discuss the relation among the C-Dunford integral, C-Pettis integral and C-integral.

• 충청수학회지
• /
• 제21권4호
• /
• pp.555-562
• /
• 2008

In this paper, it will be given a necessary and sufficient condition for a function to be an r-homomorphism in connection with the subgroups of the automorphism group of a universal minimal set.

• 충청수학회지
• /
• 제7권1호
• /
• pp.1-11
• /
• 1994

The theory of inverse semigroups has many features in common with the theory of groups. Many different properties of semigroup become the same condition on ring. In this paper, we want to find the properties of semigroups which is preserved by the properties of ring. Also we find that many different properties become the equivalent conditions.