• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
• /
• pp.80-82
• /
• 1998

we introduce the concept of coverings, direct products, cascade products and wreath products of T-fuzzy finite state machines and investigate their algebraic structures.

• 한국지능시스템학회논문지
• /
• 제11권2호
• /
• pp.173-177
• /
• 2001

We introduce cascade products, wreath products, sums and joins of TL-finite state machines and investigate their algebraic structures. Also we study the relations with other products of TL-finite state machines.

• 한국수학교육학회지시리즈B:순수및응용수학
• /
• 제16권3호
• /
• pp.283-296
• /
• 2009

Let f(x) = $x^n\;+\;a$ be a binomial polynomial in Z[x] and $f_m(x)$ be the m-th iterate of f(x). In this work we study a necessary condition to be the Galois group of $f_m(x)$ is isomorphic to a wreath product group $[C_n]^m$ where $C_n$ is a cyclic group of order n.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제5권2호
• /
• pp.53-61
• /
• 2001

We introduce sums and joins of fuzzy finite state machines and investigate their algebraic structures.

• Kyungpook Mathematical Journal
• /
• 제32권3_spc호
• /
• pp.647-651
• /
• 1992

• 대한수학회논문집
• /
• 제2권1호
• /
• pp.129-134
• /
• 1987

• Journal of applied mathematics & informatics
• /
• 제27권3_4호
• /
• pp.915-931
• /
• 2009

The non-rigid molecule group theory in which the dynamical symmetry operations are defined as physical operations is applied to deduce the character table of the full non-rigid molecule group (f-NRG) of 2,3,5,6-Tetramethylpyrazine The f-NRG of this molecule is seen to be isomorphic to the group $\mathbb{Z}_3{\wr}(\mathbb{Z}_2{\times}\mathbb{Z}_2)$, where $\mathbb{Z}_n$ is the cyclic group of order n, of order 324 which has 45 conjugacy classes. We determine the some properties and relations between characters of the group. Also, we examine the symmetry group of this molecule and show that its symmetry group is $\mathbb{Z}_2{\times}\mathbb{Z}_2$.

• Journal of applied mathematics & informatics
• /
• 제6권1호
• /
• pp.227-238
• /
• 1999

We introduce several decompositons of generalized trans-formation semigroups and investigate some of their algebraic struc-tures.

• 충청수학회지
• /
• 제22권3호
• /
• pp.497-506
• /
• 2009

This work studies about the composition polynomial f(g(x)) that preserves certain properties of f(x) and g(x). We shall investigate necessary and sufficient conditions of f(x) and g(x) to be f(g(x)) is separable, solvable by radical or split completely. And we find relationship of Galois groups of f(g(x)), f(x) and of g(x).

• Kyungpook Mathematical Journal
• /
• 제56권3호
• /
• pp.669-682
• /
• 2016

In this paper, we study the cellular structure of the G-edge colored partition algebras, when G is a finite group. Further, we classified all the irreducible representations of these algebras using their cellular structure whenever G is a finite cyclic group. Also we prove that the ${\mathbb{Z}}/r{\mathbb{Z}}$-Edge colored partition algebras are quasi-hereditary over a field of characteristic zero which contains a primitive $r^{th}$ root of unity.