• Title/Summary/Keyword: subalgebra

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HYPER BCC-ALGEBRAS

  • JUN, YOUNG BAE;ROH, EUN HWAN;HARIZAVI, HABIB
    • Honam Mathematical Journal
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    • v.28 no.1
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    • pp.57-67
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    • 2006
  • we apply the hyperstructures to BCC-algebras, and introduce the concept of a hyper BCC-algebra which is a generalization of a BCC-algebra, and investigates some related properties. We also introduce the notion of a hyper BCC-subalgebra, BCC-scalar element and a hyper BCC-ideal, and discuss related properties.

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A geometric criterion for the element of the class $A_{1,aleph_0 $(r)

  • Kim, Hae-Gyu;Yang, Young-Oh
    • Journal of the Korean Mathematical Society
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    • v.32 no.3
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    • pp.635-647
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    • 1995
  • Let $H$ denote a separable, infinite dimensional complex Hilbert space and let $L(H)$ denote the algebra of all bounded linear operators on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $1_H$ and is closed in the $weak^*$ operator topology on $L(H)$. For $T \in L(H)$, let $A_T$ denote the smallest subalgebra of $L(H)$ that contains T and $1_H$ and is closed in the $weak^*$ operator topology.

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GENERALIZED INT-SOFT SUBALGEBRAS OF BE-ALGEBRAS

  • SO, KEUM SOOK;KIM, YOUNG HEE
    • Journal of applied mathematics & informatics
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    • v.34 no.3_4
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    • pp.331-340
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    • 2016
  • The notion of θ-generalized int-soft subalgebras of BE-algebras is introduced, and related properties are investigated. Relations between int-soft subalgebras and θ-generalized int-soft subalgebras are discussed, and characterizations of θ-generalized int-soft subalgebras are considered.

NOTE ON T-PARTS OF BCI-ALGEBRAS RELATIVE TO SUBSETS

  • Jeong, Won Kyun
    • Korean Journal of Mathematics
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    • v.10 no.2
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    • pp.97-101
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    • 2002
  • In this paper, we introduce the notion of T-part of BCI-algebras relative to a subset. We show that if A is a subalgebra of a BCI-algebra X, then so is the T-part $T_A(X)$ of X relative to A. We provide equivalent conditions that the T-part of X relative to A is an ideal.

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WEAK AND CONCRETE FILTERS OF WFI-ALGEBRAS

  • Jun, Young-Bae
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.925-932
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    • 2008
  • The notion of weak filters in WFI-algebras is introduced. Relations between weak filters and concrete filters are established. A condition for a filter to be closed is given. Also, a condition for a filter to be a weak filter is provided. Characterizations of weak and concrete filters are discussed. A condition for a subalgebra to be a concrete filter is given.

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EXPONENTIAL STABILITY OF INFINITE DIMENSIONAL LINEAR SYSTEMS

  • Shin, Chang Eon
    • Communications of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.603-611
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    • 2016
  • In this paper, we show that if $\mathcal{A}$ is a differential subalgebra of Banach algebras $\mathcal{B}({\ell}^r)$, $1{\leq}r{\leq}{\infty}$, then solutions of the infinite dimensional linear system associated with a matrix in $\mathcal{A}$ have its p-exponential stability being equivalent to each other for different $1{\leq}p{\leq}{\infty}$.

C32-CONSTRUCTION ON Mn(κ)

  • Song, Youngkwon
    • Korean Journal of Mathematics
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    • v.12 no.1
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    • pp.23-32
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    • 2004
  • Let (B, $m_B$, ${\kappa}$) be a maximal commutative ${\kappa}$-subalgebra of a matrix algebra $M_n(\kappa)$. We will construct a maximal commutative ${\kappa}$-subalgebra (R, $m$, ${\kappa}$) of $M_n+3(\kappa)$ from the algebra B such that the algebra R has dimension greater than the dimension of B by 3. Moreover, we will show a $C_i$-construction doesn't imply a $C^3_2$-construction for $i=1,2$.

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