n-fold Obstinate Filters in Pseudo-Hoop Algebras
عنوان مقاله: n-fold Obstinate Filters in Pseudo-Hoop Algebras
شناسه ملی مقاله: JR_IJIM-12-2_004
منتشر شده در در سال 1399
شناسه ملی مقاله: JR_IJIM-12-2_004
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:
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.
خلاصه مقاله:
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.
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.
کلمات کلیدی: Pseudo-hoop algebra, filter, n-fold obstinate pseudo-hoop, n-fold obstinate filter
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1886983/