BOOLEAN CENTER OF LATTICE ORDERED EQ-ALGEBRAS WITH BOTTOM ELEMENT

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MOHTASHAMNIA NEDA; Torkzadeh Lida

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Journal Paper

Paper Information

Journal: Algebraic structures and their applications Year:2018 | Volume:5 | Issue:1 Page(s): 51-68

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Information Journal Paper

Title

BOOLEAN CENTER OF LATTICE ORDERED EQ-ALGEBRAS WITH BOTTOM ELEMENT

Author(s)

MOHTASHAMNIA NEDA | Torkzadeh Lida | Issue Writer Certificate

Keywords

EQ-algebra

blEQ-algebra

Boolean element

Abstract

In this paper, some new properties of EQ-algebras are investigated. We intro-duce and study the notion of Boolean center of lattice ordered EQ-algebras with bottom element. We show that in a good ℓ EQ-algebra E with bottom element the complement of an element is unique. Furthermore, Boolean elements of a good bounded lattice EQ-algebra are characterized. Finally, we obtain conditions under which Boolean center of an EQ-algebra E is the subalgebra of E.

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APA: Copy

MOHTASHAMNIA, NEDA, & Torkzadeh, Lida. (2018). BOOLEAN CENTER OF LATTICE ORDERED EQ-ALGEBRAS WITH BOTTOM ELEMENT. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, 5(1), 51-68. SID. https://sid.ir/paper/354255/en

Vancouver: Copy

MOHTASHAMNIA NEDA, Torkzadeh Lida. BOOLEAN CENTER OF LATTICE ORDERED EQ-ALGEBRAS WITH BOTTOM ELEMENT. ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS[Internet]. 2018;5(1):51-68. Available from: https://sid.ir/paper/354255/en

IEEE: Copy

NEDA MOHTASHAMNIA, and Lida Torkzadeh, “BOOLEAN CENTER OF LATTICE ORDERED EQ-ALGEBRAS WITH BOTTOM ELEMENT,” ALGEBRAIC STRUCTURES AND THEIR APPLICATIONS, vol. 5, no. 1, pp. 51–68, 2018, [Online]. Available: https://sid.ir/paper/354255/en

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