n-fold Obstinate Filters in Pseudo-Hoop Algebras
سال انتشار: 1399
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 60
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شناسه ملی سند علمی:
JR_IJIM-12-2_004
تاریخ نمایه سازی: 26 دی 1402
چکیده مقاله:
In this paper, we introduce the concepts of n-fold obstinate pseudo-hoop and n-fold obstinate filter 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 filter and other types of n-fold pseudo-hoops and n-fold filters such as n-fold(positive) implicative filter and n-fold fantastic filter in pseudo-hoops. For example, we proved that any n-fold obstinate filter is a maximal filter. Finally, we obtain a characterization of n-fold obstinate filters 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.
کلیدواژه ها:
نویسندگان
R. A. Borzooei
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
A. Namdar
Department of Mathematics, Zarrin Dasht Branch, Islamic Azad university, Zarrin Dasht, Iran.
M. Aaly Kologani
Hatef Higher Education Institute, Zahedan, Iran.