n-fold Obstinate Filters in Pseudo-Hoop Algebras

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BORZOOEI R.A.; NAMDAR A.; AALY KOLOGANI M.

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Journal: International Journal of Industrial Mathematics Year:2020 | Volume:12 | Issue:2 Page(s): 147-157

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Information Journal Paper

Title

n-fold Obstinate Filters in Pseudo-Hoop Algebras

Author(s)

BORZOOEI R.A. | NAMDAR A. | AALY KOLOGANI M. | Issue Writer Certificate

Keywords

Pseudo

hoop algebra;Filter;n

fold obstinate pseudo

hoop;n

fold obstinate filter

Abstract

In this paper, we introduce the concepts of n-fold obstinate Pseudo-hoop and n-fold obstinate lter in Pseudo-hoops. Then we investigated these notions and proved some properties of them. Also, we discussed the relationship between n-fold obstinate Pseudo-hoop and n-fold obstinate lter and other types of n-fold Pseudo-hoops and n-fold lters such as n-fold(positive) implicative lter and n-fold fantastic lter in Pseudo-hoops. For example, we proved that any n-fold obstinate lter is a maximal lter. Finally, we obtain a characterization of n-fold obstinate lters in terms of congruences and we show that any n-fold obstinate Pseudo-hoop is an n-fold fantastic, n-fold positive implicative, n-fold implicative Pseudo-hoop and simple Pseudo-hoop.

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APA: Copy

BORZOOEI, R.A., NAMDAR, A., & AALY KOLOGANI, M.. (2020). n-fold Obstinate Filters in Pseudo-Hoop Algebras. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 12(2), 147-157. SID. https://sid.ir/paper/755737/en

Vancouver: Copy

BORZOOEI R.A., NAMDAR A., AALY KOLOGANI M.. n-fold Obstinate Filters in Pseudo-Hoop Algebras. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2020;12(2):147-157. Available from: https://sid.ir/paper/755737/en

IEEE: Copy

R.A. BORZOOEI, A. NAMDAR, and M. AALY KOLOGANI, “n-fold Obstinate Filters in Pseudo-Hoop Algebras,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 12, no. 2, pp. 147–157, 2020, [Online]. Available: https://sid.ir/paper/755737/en

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