• 제어로봇시스템학회:학술대회논문집
• /
• 1990.10b
• /
• pp.939-944
• /
• 1990

To recognize isomorphic transformation patterns, such as scale-change, translation and rotation transformed patterns, is an old difficult but interesting problem. Many researches have been done with a dominant approach of normalization by many eminent pioneers. However, there seems no a perfect system which can even recognize 90 .deg.-multiple rotation isomorphic transformation patterns for real needs. Here, as a new challenge, we propose a method of how to recognize 90 .deg.-multiple rotation isomorphic and symmetry isomorphic transformation patterns.

• Bulletin of the Korean Mathematical Society
• /
• v.37 no.3
• /
• pp.519-536
• /
• 2000

We construct a stationary, properly ordered Bratteli diagram B=(V,E,$\geq$) so that its Vershik map is isomorphic to Chacon's homeomorphism. It is the simplest stationary, properly ordered Bratteli diagram isomorphic to (Xc, Tc). We also find a primitive and proper substitution of Chacon's transformation.

• ETRI Journal
• /
• v.30 no.2
• /
• pp.326-334
• /
• 2008

This paper proposes a method for generating a basis translation matrix between isomorphic extension fields. To generate a basis translation matrix, we need the equality correspondence of a basis between the isomorphic extension fields. Consider an extension field $F_{p^m}$ where p is characteristic. As a brute force method, when $p^m$ is small, we can check the equality correspondence by using the minimal polynomial of a basis element; however, when $p^m$ is large, it becomes too difficult. The proposed methods are based on the fact that Type I and Type II optimal normal bases (ONBs) can be easily identified in each isomorphic extension field. The proposed methods efficiently use Type I and Type II ONBs and can generate a pair of basis translation matrices within 15 ms on Pentium 4 (3.6 GHz) when $mlog_2p$ = 160.

• Communications of the Korean Mathematical Society
• /
• v.9 no.2
• /
• pp.285-291
• /
• 1994

This paper is a contribution to the study of the isomorphism problems for algebras. Among the isomorphism problems, that of global determination is investigated here. That is, our investigation of the problems is concerned with the question whether two algebras are isomorphic when their globals are isomorphic. The answer is not always affirmative. The counterexample, due to E. M. Mogiljanskaja, is the class of all infinite semigroups. But T. Tamura and J. Shafer [6] proved that the class of all groups is globally determined and announced the same result for the class of rectangular bands. Vazenin [7] proved that for any set X, the transformation semigroup $T_{X}$ must be isomorphic to any semigroup S for any P(S)$\simeq$P($T_{X}/TEX>).(omitted)

• Communications of the Korean Mathematical Society
• /
• v.13 no.4
• /
• pp.759-764
• /
• 1998

We define the rational lens algebra (equation omitted)(n) as the crossed product by an action of Z on C( $S^{2n＋l}$). Assume the fibres are $M_{ k}$/(C). We prove that (equation omitted)(n) $M_{p}$ (C) is not isomorphic to C(Prim((equation omitted)(n))) $M_{kp}$ /(C) if k > 1, and that (equation omitted)(n) $M_{p{\infty}}$ is isomorphic to C(Prim((equation omitted)(n))) $M_{k}$ /(C) $M_{p{\infty}}$ if and only if the set of prime factors of k is a subset of the set of prime factors of p. It is moreover shown that if k > 1 then (equation omitted)(n) is not stably isomorphic to C(Prim(equation omitted)(n))) $M_{k}$ (c).

• Communications of the Korean Mathematical Society
• /
• v.12 no.3
• /
• pp.709-715
• /
• 1997

For a fibration (E,B,p) with fiber F and a fiber map f, we show that if the inclusion $i : F \to E$ has a left homotopy inverse, then $G^f_n(E,F)$ is isomorphic to $G^f_n(F,E) \oplus \pi_n(B)$. In particular, by taking f as the identity map on E we have $G_n(E,F)$ is isomorphic to $G_n(F) \oplus \pi_n(B)$.

• Communications of the Korean Mathematical Society
• /
• v.11 no.4
• /
• pp.1015-1030
• /
• 1996

We investigate complemented Banach subspaces of the Banach envelope of $eak L_1$. In particular, the Banach envelope of $weak L_1$ contains complemented Banach sublattices that are isometrically isomorphic to $l_p, (1 \leq p < \infty)$ or $c_0$. Finally, we also prove that the Banach envelope of $weak L_1$ contains an isomorphic copy of $l^{p, \infty}, (1 < p < \infty)$.

• Journal of the Korean Institute of Intelligent Systems
• /
• v.17 no.1
• /
• pp.100-111
• /
• 2007

We introduce the concept of intuitionistic fuzzy G-equivalence relations (congruence), and we obtain some results. Furthermore, we prove that $IFC_G(K)$ is isomorphic to $IFN^*(K)$ for any group K. Also, we prove that($IFC_{G,({\lambda},{\mu})}/{\sim},\;*$) and ($IFNG_{({\lambda},{\mu})}(K),\;{\circ}$) are isomorphic.

• Journal of applied mathematics & informatics
• /
• v.30 no.1_2
• /
• pp.347-352
• /
• 2012

In this paper, we denote that $R$ is a near-ring and $G$ an $R$-group. We initiate the study of faithful $R$-group, the substructures of $R$ and $G$, also quotients of substructure relations between them. Next, we investigate some isomorphic properties of near-rings and $R$-groups.

• Communications of the Korean Mathematical Society
• /
• v.22 no.2
• /
• pp.209-218
• /
• 2007

In this paper we investigate the ${\ell}^p$ space structure of the Banach envelope of $WeakL_1$. In particular, the Banach envelope of $WeakL_1$ contains a complemented Banach sublattice that is isometrically isomorphic to the nonseparable Banach lattice ${\ell}^p$, ($1{\leq}p<\infty$) as well as the separable case.