• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.1
• /
• pp.37-48
• /
• 2016

The aim of this paper is to introduce the notion of a generalized derivations of BCH-algebras and some related properties are investigated.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.10 no.3
• /
• pp.247-252
• /
• 2010

In this paper, we investigate the relations among formal concepts, attribute oriented concept and object oriented concepts on a complete residuated lattice.

• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.4
• /
• pp.643-649
• /
• 2014

In this paper, we introduce the concept of a (f, g)-derivation which is a generalization of f-derivation in an incline algebra and give some properties of incline algebras. Also, we consider the kerd and k-ideal with respect to (f, g)-derivation in an incline algebra.

• Honam Mathematical Journal
• /
• v.35 no.2
• /
• pp.201-210
• /
• 2013

In this paper, we introduced the notion of multiplier of a BCC-algebra, and gave some properties of BCC-algebras. Also, we characterized kernels and normal ideals of multipliers on BCC-algebras.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.13 no.4
• /
• pp.345-351
• /
• 2013

In this paper, we investigate the properties of fuzzy Galois (dual Galois, residuated, and dual residuated) connections in a complete residuated lattice L. We give their examples. In particular, we study fuzzy Galois (dual Galois, residuated, dual residuated) connections induced by L-fuzzy relations.

• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.4
• /
• pp.357-367
• /
• 2017

In this paper, we introduce the notion of multiplier of AC-algebra and consider the properties of multipliers in AC-algebras. Also, we characterized the fixed set $Fix_d(X)$ by multipliers. Moreover, we prove that M(X), the collection of all multipliers of AC-algebras, form a semigroup under certain binary operation.

• Korean Journal of Mathematics
• /
• v.27 no.2
• /
• pp.425-435
• /
• 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 ${\phi}_{\alpha}$.

• Journal of the Chungcheong Mathematical Society
• /
• v.27 no.2
• /
• pp.227-236
• /
• 2014

In this paper, we introduce the notion of a generalized derivation in a BE-algebra, and consider the properties of generalized derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by generalized derivations. Moreover, we prove that if d is a generalized derivation of a BE-algebra, every filter F is a d-invariant.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.4
• /
• pp.613-629
• /
• 2016

In this paper, we introduced the notion of multiplier of Boolean algebras and discuss related properties between multipliers and special mappings, like dual closures, homomorphisms on B. We introduce the notions of xed set $Fix_f(X)$ and normal ideal and obtain interconnection between multipliers and $Fix_f(B)$. Also, we introduce the special multiplier ${\alpha}_p$a nd study some properties. Finally, we show that if B is a Boolean algebra, then the set of all multipliers of B is also a Boolean algebra.

• Honam Mathematical Journal
• /
• v.36 no.1
• /
• pp.167-178
• /
• 2014

In this paper, we introduce the notion of derivation in a BE-algebra, and consider the properties of derivations. Also, we characterize the fixed set $Fix_d(X)$ and Kerd by derivations. Moreover, we prove that if d is a derivation of BE-algebra, every filter F is a d-invariant.