• Journal of applied mathematics & informatics
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• 제32권5_6호
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• pp.849-856
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• 2014

In this paper we introduce the notion of medial B-algebras, and we obtain a fundamental theorem of B-homomorphism for B-algebras.

• 충청수학회지
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• 제15권2호
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• pp.13-23
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• 2003

We prove a simplicity of the $C^*$-algebra generated by some $C^*$-subalgebra and a Haar unitary in a free product of finite von Neumann algebras. Some examples and questions are given.

• 대한수학회논문집
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• 제18권3호
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• pp.429-437
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• 2003

In this paper, we classify the subalgebras by their family of level subalgebras in B-algebras.

• 호남수학학술지
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• 제32권1호
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• pp.17-27
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• 2010

In this paper we apply the notion of soft sets introduced by Molodtsov to the theory of BF-algebras. Soft BF-subalgebras and homomorphisms in soft BF-algebras are discussed.

• 대한수학회보
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• 제37권3호
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• pp.537-542
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• 2000

When A is a subalgebra of a $C^*$-algebra, the spatial numerical range of element of A can be described in terms of positive linear functionals on the $C^*$-algebra.

• 대한수학회논문집
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• 제9권4호
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• pp.847-852
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• 1994

Let $H$ be a separable, infinite dimensional, complex Hilbert space and let $L(H)$ be the algebra of all bounded linear operator on $H$. A dual algebra is a subalgebra of $L(H)$ that contains the identity operator $I_H$ and is closed in the ultraweak operator topology on $L(H)$.

• 대한수학회논문집
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• 제12권4호
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• pp.911-920
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• 1997

This note centers around the class M(A) of multipliers on a Gelfand algebra A. This class is a large subalgebra of the Banach algebra L(A). The aim of this note is to investigate some aspects concerning their local spectral properties of multipliers. In the last part of work we consider some applications to automatic continuity theory.

• 대한수학회논문집
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• 제22권3호
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• pp.353-357
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• 2007

Let $(g,\;\delta)$ be a Lie bialgebra. Here we give an explicit formula for the Poisson bracket on a subalgebra of $U(g)^{\circ}$ induced by the given cobracket $\delta$.

• 대한수학회논문집
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• 제21권4호
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• pp.653-664
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• 2006

As a generalization of ideals in subtraction algebras, the notion of rough ideals is discussed.

• East Asian mathematical journal
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• 제21권1호
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• pp.9-19
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• 2005

In this paper, some properties of intuitionistic fuzzy o-subalgebras of BCK-algebra with condition(S) are investigated.