• Bulletin of the Korean Mathematical Society
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• v.38 no.3
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• pp.435-441
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• 2001

We obtain a characterization of linear operators on vector spaces and homomorphisms on algebras applying the stability properties of functional equations.

• 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.

• Journal of applied mathematics & informatics
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• v.7 no.1
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• pp.289-295
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• 2000

In this note, we define a ${Q^*}-ideal$ in a seminear-ring which is analogous of a Q-ideal in a semiring, and we construct a quotient seminear-ring. Also, We prove the fundamental theorem of homomorphisms for seminear-rings.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.551-558
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• 2004

We shall discuss some properties of quasi-homomorphisms associated with automata. We shall give some characterizations in terms of characteristic semigroups for regular and invertible attomata.

• The Mathematical Education
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• v.10 no.1
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• pp.4-5
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• 1972

이 논문은 modules 사이의 homomorphisms의 exact sequence에서 다음과 같은 것을 밝힌 것임. 1. (equation omitted)이 하나의 exact sequence 이고 P가 임의의 R-module일 때 (equation omitted)은 abelian group의 하나의 exact sequence라는 것. 2. (equation omitted)이 exact sequence 이고 P가 임의의 R-modele이면 (equation omitted)는 abelian group의 하나의 exact sequence라는 것.

• Journal of the Chungcheong Mathematical Society
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• v.21 no.4
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• pp.555-562
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• 2008

In this paper, it will be given a necessary and sufficient condition for a function to be an r-homomorphism in connection with the subgroups of the automorphism group of a universal minimal set.

• Communications of the Korean Mathematical Society
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• v.13 no.4
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• pp.847-854
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• 1998

We investigate categorical properties of the category NFrm of nearness frames and uniform homomorphisms. We introduce a concept of weakly strong nearness frames and study its permanence properties.

• Communications of the Korean Mathematical Society
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• v.13 no.4
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• pp.751-757
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• 1998

Using idempotents in quasi-lattices, we show that the category Latt of lattices is both reflective and coreflective in the category qLatt of quasi-lattices and homomorphisms. It is also shown that a quasi-ordered set is a quasi-lattice iff its partially ordered reflection is a lattice.

• Communications of the Korean Mathematical Society
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• v.33 no.1
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• pp.165-170
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• 2018

In this paper, we show that every unital n-Jordan homomorphism ${\varphi}$ from a Banach algebra ${\mathcal{A}}$ onto a semisimple commutative Banach algebra B is continuous.

• 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.