Some Results on UP-algebras

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PARVIZI ZAHRA; Motamed Somayeh; Khaksar Haghani Farhad; Moghaderi Javad

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Paper Information

Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2022 | Volume:8 | Issue:38 Page(s): 21-38

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Title

Some Results on UP-algebras

Author(s)

PARVIZI ZAHRA | Motamed Somayeh | Khaksar Haghani Farhad | Moghaderi Javad | Issue Writer Certificate

Keywords

UP-algebra

UP-filter

Stabilizer

(Strong) Coatom

(Generalized) Co-annihilator

Abstract

In this paper, we introduce the concept of Stabilizers of a set in UP-algebras and introduce a new class of UP-algebras. Then we introduce and study their properties and the relationships between the left and right Stabilizers of a set in UP-algebras and provide equivalent conditions for easier and faster study of new UP-algebras. We also show that, by adding a condition, the left Stabilizer of a set is a UP-filter, while the right Stabilizer of a set is not. In the following, we define the concepts of coatom and (Strong) Coatom on UP-algebras and examine its properties. In addition, we provide equivalent conditions for easier study of coatoms in UP-algebras. We show that for a UP-algebra A, Coatom (A)=A-{0} if and only if each subset of A contains 0, is a UP-filter of A. We also examine the relationship between coatoms and Stabilizers. Finally, we introduce the (Generalized) Co-annihilator set G relative to F and study its properties.

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APA: Copy

PARVIZI, ZAHRA, Motamed, Somayeh, Khaksar Haghani, Farhad, & Moghaderi, Javad. (2022). Some Results on UP-algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 8(38 ), 21-38. SID. https://sid.ir/paper/1064983/en

Vancouver: Copy

PARVIZI ZAHRA, Motamed Somayeh, Khaksar Haghani Farhad, Moghaderi Javad. Some Results on UP-algebras. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2022;8(38 ):21-38. Available from: https://sid.ir/paper/1064983/en

IEEE: Copy

ZAHRA PARVIZI, Somayeh Motamed, Farhad Khaksar Haghani, and Javad Moghaderi, “Some Results on UP-algebras,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 8, no. 38 , pp. 21–38, 2022, [Online]. Available: https://sid.ir/paper/1064983/en

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