• Korean Journal of Mathematics
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• v.18 no.1
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• pp.1-10
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• 2010

It is shown that for an almost algebra homomorphism between Banach algebras, there exists a unique algebra homomorphism near the almost algebra homomorphism. Moreover, we prove that for an almost algebra ${\ast}$-homomorphism between $C^{\ast}$-algebras, there exists a unique algebra ${\ast}$-homomorphism near the almost algebra ${\ast}$-homomorphism, and that for an almost algebra ${\ast}$-homomorphism between $JB^{\ast}$-algebras, there exists a unique algebra ${\ast}$-homomorphism near the almost algebra ${\ast}$-homomorphism.

• Journal of the Chungcheong Mathematical Society
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• v.22 no.2
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• pp.131-139
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• 2009

As a generalization of a homomorphism of BCK-algebras, the notion of a semi-homomorphism of BCK-algebras is introduced, and its characterization is given. A condition for a semi-homomorphism to be a homomorphism is provided.

• Honam Mathematical Journal
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• v.42 no.2
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• pp.411-423
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• 2020

In this paper, we correct some errors and typos of [2] and introduce a new concept related to pseudo n-Jordan homomorphisms, that we call it pseudo n-homomorphism. We investigate automatic continuity and positivity of pseudo n-homomorphisms and pseudo n-Jordan homomorphisms on Banach algebras and C*-algebras. Moreover, we show that the sum of two pseudo n-Jordan homomorphisms is not a pseudo n-Jordan homomorphism and we show that under some conditions the sum of two pseudo n-Jordan homomorphisms is a pseudo n-Jordan homomorphism.

• Kyungpook Mathematical Journal
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• v.61 no.4
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• pp.737-744
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• 2021

In this paper, among other things, we show that under special hypotheses every [pseudo] (n + 1)-Jordan homomorphism is a [pseudo] n-Jordan homomorphism and vice versa.

• Bulletin of the Korean Mathematical Society
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• v.57 no.1
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• pp.31-35
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• 2020

With the motivation to extend the Zelasko's theorem on commutative algebras, it was shown in [2] that if n ∈ {3, 4} is fixed, A, B are commutative algebras and h : A → B is an n-Jordan homomorphism, then h is an n-ring homomorphism. In this paper, we extend this result for all n ≥ 3.

• Korean Journal of Mathematics
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• v.19 no.2
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• pp.211-217
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• 2011

In this paper we study some properties on regular homomorphisms. In particular, we investigate the equivalent conditions for the homomorphism of minimal sets to be regular.

• Korean Journal of Mathematics
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• v.21 no.2
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• pp.181-187
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• 2013

In this paper we give some results on homomorphisms of pointed minimal sets. In particular, we investigate some characterizations on quasi-Ellis groups.

• Communications of the Korean Mathematical Society
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• v.38 no.2
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• pp.487-490
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• 2023

In this short note, we give a simple proof of the main theorem of [5] which states that every n-Jordan homomorphism h : A → B between two commutative algebras A and B is an n-homomorphism.

• Journal of the Chungcheong Mathematical Society
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• v.12 no.1
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• pp.103-111
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• 1999

In this paper, we introduce a generalized regular homomorphism as the extending notion of the regular homomorphism.

• Korean Journal of Mathematics
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• v.19 no.3
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• pp.273-278
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• 2011

In this paper we give some results on homomorphisms of pointed minimal sets. In particular, we investigate some characterizations on Ellis groups.