• East Asian mathematical journal
• /
• v.21 no.2
• /
• pp.171-181
• /
• 2005

In this paper we investigate some more properties of of $S_3$-algebras. We also prove that the class of $S_3$-algebras is contained in the class of commutative BCI-algebras.

• Journal of the Korean Mathematical Society
• /
• v.38 no.4
• /
• pp.763-780
• /
• 2001

The use and development of of computer technology by algebraists over the last forty years has revolutionised the way in which algebraists think about algebra, and the way they teach it and conduct their research. This paper is a personal reflection on these changes by a somewhat unwilling computer user.

• The Pure and Applied Mathematics
• /
• v.17 no.4
• /
• pp.333-340
• /
• 2010

We estimate the real rank of a composition series of closed ideals of a $C^*$-algebra such that its subquotients have continuous trace, which is equivalent to that the $C^*$-algebra is of type I.

• Bulletin of the Korean Mathematical Society
• /
• v.36 no.2
• /
• pp.343-349
• /
• 1999

In this paper we apply the notion of $\rhd$$\mu$ and $\lhd$$\mu$ to fuzzy BCK-algebra, and show that $\lhd$$\mu$ is cogradient to a partial order of the BCK-algebra.

• Communications of the Korean Mathematical Society
• /
• v.26 no.2
• /
• pp.253-259
• /
• 2011

Let A and B be Banach algebras with unit. Here we prove that an approximate algebra homomorphism f : A ${\rightarrow}$ B, in the sense of Rassias, is an algebra homomorphism.

• Bulletin of the Korean Mathematical Society
• /
• v.53 no.2
• /
• pp.541-550
• /
• 2016

In this paper, we introduce a quasi-Banach algebra of infinite matrices, which is inverse-closed in the Banach algebra B(${\ell}^2$) of all bounded operators on ${\ell}^2$.

• Korean Journal of Mathematics
• /
• v.26 no.4
• /
• pp.799-808
• /
• 2018

In this paper, we extend the concept of double centralizer to triple centralizer and we show that, the triple centralizer is a $C^*$-algebra. Some algebraic properties are investigated.

• Journal of the Korean School Mathematics Society
• /
• v.11 no.1
• /
• pp.133-157
• /
• 2008

This paper is based on theory of Usiskin who defined inclusively the various concepts of algebra among many theories classifying a type of the algebra. For this purpose, we examined the curriculum of the algebra of Korea, America and Japan, then analyzed where the problems in "Letter and Formula" of the textbooks fall under Usiskin's concepts of algebra.

• Honam Mathematical Journal
• /
• v.28 no.1
• /
• pp.135-140
• /
• 2006

Given vectors x and y in a separable Hilbert space H, an interpolating operator is a bounded operator A such that Ax = y. In this article, we investigate self-adjoint interpolation problems for vectors in a tridiagonal algebra: Let AlgL be a tridiagonal algebra on a separable complex Hilbert space H and let $x=(x_i)$ and $y=(y_i)$ be vectors in H.Then the following are equivalent: (1) There exists a self-adjoint operator $A=(a_ij)$ in AlgL such that Ax = y. (2) There is a bounded real sequence {$a_n$} such that $y_i=a_ix_i$ for $i{\in}N$.

• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.2
• /
• pp.297-307
• /
• 2014

The present paper gives the notion of a derivation on a CI-algebra X and investigates related properties. We define a set $Fix_d(X)$ by $Fix_d(X)=\{x{\in}X{\mid}d(x)=x\}$, where d is a derivation on a CI-algebra X. We show that $Fix_d(X)$ is a subalgebra of X. Also, we prove some one-to-one and onto derivation theorems. Moreover, we study a regular derivation on a CI-algebra and an isotone derivation on a transitive CI-algebra.