• Bulletin of the Korean Mathematical Society
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• v.29 no.2
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• pp.221-226
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• 1992

The involutions in a left Artinian ring A with identity are investigated. Those left Artinian rings A for which 2 is a unit in A and the set of involutions in A forms a finite abelian group are characterized by the number of involutions in A.

• Korean Journal of Mathematics
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• v.30 no.2
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• pp.363-373
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• 2022

In this paper we mainly establish a relationship between involutions of multiplicative Hom-Lie algebras and Hom-Lie triple systems. We show that the -1-eigenspace of any involution on any multiplicative Hom-Lie algebra becomes a Hom-Lie triple system and we construct some examples of Hom-Lie triple systems using some involutions of some classical Hom-Lie algebras.

• Journal of the Chungcheong Mathematical Society
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• v.34 no.3
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• pp.253-257
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• 2021

In this paper, we provide a recursive formula for the number of involutions of doubly alternating Baxter permutations in S_n.

• Communications of the Korean Mathematical Society
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• v.14 no.1
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• pp.211-216
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• 1999

We study the anti-linear involutions on a real algebraic vector bundle with bundle with a compact real algebraic group action.

• Bulletin of the Korean Mathematical Society
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• v.13 no.1
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• pp.15-19
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• 1976

• The Mathematical Education
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• v.20 no.1
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• pp.23-26
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• 1981

• Journal of the Korean Mathematical Society
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• v.26 no.2
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• pp.263-269
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• 1989

• Journal of the Korean Mathematical Society
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• v.23 no.2
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• pp.217-222
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• 1986

• Journal of the Korean Mathematical Society
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• v.17 no.2
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• pp.279-284
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• 1981

• Journal of the Korean Mathematical Society
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• v.51 no.2
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• pp.403-426
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• 2014

The purpose of this paper is to find expressions of the Fricke spaces of some basic surfaces which are a three-holed sphere ${\sum}$(0, 3), a one-holed torus ${\sum}$(1, 1), and a four-holed sphere ${\sum}$(0, 4). For this goal, we define the involutions corresponding to oriented axes of loxodromic elements and an inner product <,> which gives the information about locations of axes of loxodromic elements. The signs of traces of holonomy elements, which are calculated by lifting a representation from PSL(2, $\mathbb{C}$) to SL(2, $\mathbb{C}$), play a very important role in determining the discreteness of holonomy groups.