• Kyungpook Mathematical Journal
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• 제45권2호
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• pp.171-175
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• 2005

In this paper, we introduce the concept of op-idempotents. It is shown that every exchange ring can be characterized by op-idempotents

• Korean Journal of Mathematics
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• 제9권2호
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• pp.99-104
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• 2001

We give the characterization of left(right) semi-regular $po$-semigroups and $Ve$-semigroups.

• 대한수학회논문집
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• 제10권1호
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• pp.15-21
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• 1995

• 충청수학회지
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• 제9권1호
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• pp.123-128
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• 1996

This paper is to study the regular $^*$ semigroup, to define the self-involutive semi-group, to introduce the properties of the self-involutive semigroup, and to generalize the maximum idempotent-separating congruence which was found by conditioning self-involutive semigroups.

• 충청수학회지
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• 제10권1호
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• pp.105-108
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• 1997

In this paper we prove that if D is a continuous derivation on a noncommutative complex Banach algebra A and [D(x),x] is idempotent for every $x{\in}A$, then D maps A into its radical.

• 대한수학회논문집
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• 제12권4호
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• pp.855-864
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• 1997

Let K be a algebraically closed field of characteristic 0 and G a cyclic group of order n. We find the units and idempotent elements of the group ring KG by using the basic group table matrix of G.

• Korean Journal of Mathematics
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• 제11권1호
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• pp.57-64
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• 2003

We define $Z_16$ quadratic residue codes in term of their idempotent generators and show that these codes also have many good properties which are analogous in many respects to properties of quadratic residue codes over a field.

• 대한수학회보
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• 제27권2호
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• pp.113-120
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• 1990

In this paper we introduce S(X, $x_{0}$) which is a generalization of Ellis group G(X, $x_{0}$), and S-sets in S(X, $x_{0}$). In particular we cind the sufficient condition for the group A(I) of all automorphisms of I and K=Iu to be isomorphic, where I is a minimal right ideal and u is an idempotent of I.f I.

• 대한수학회논문집
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• 제11권1호
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• pp.63-70
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• 1996

Let K be a field of characteristic 0 and G a Klein's four group. We find the idempotent elements and units of the group ring KG by using the basic group table matrix of G.

• Korean Journal of Mathematics
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• 제27권2호
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• pp.425-435
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• 2019

The notion of multiplier for an almost distributive lattice is introduced, and some related properties are investigated. Moreover, we introduce a congruence relation ${\phi}_{\alpha}$ induced by ${\alpha}{\in}L$ on an almost distributive lattice and derive some useful properties of ${\phi}_{\alpha}$.