SOME RESULTS ON IDEALS AND ⊙-DERIVATION IN BL-ALGEBRAS

نوع مقاله : مقاله پژوهشی

نویسندگان

1 گروه ریاضی، دانشگاه آطاد اسلامی شهرکرد

2 گروه ریاضی، دانشکده علوم پایه، دانشگاه آزاد اسلامی واحد شهرکرد، شهرکرد، ایران

3 گروه ریاضی، دانشگاه آزاد اسلامی شهرکرد

چکیده

In this paper, by considering the notion of ideals in BL-algebras, we introduce some special ideals which are related to a subset of a BL-algebra and derive some new relations and results about them. We also define the concepts of ⊙-derivation for BL-algebras and obtain some related results. Finally, we investigate the connection between these functions and BL-algebras

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

SOME RESULTS ON IDEALS AND ⊙-DERIVATION IN BL-ALGEBRAS

نویسندگان [English]

  • Mohammad Hosein Nasr esfahani 1
  • Farhad Khaksar Haghami 2
  • Shahram Heidarian 3
1 Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
2 Department of mathematics, faculty of basic sciences, Shahrekord branch, I slamic Azad university, Shahrekord, Iran
3 Department of Mathematics, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
چکیده [English]

In this paper, by considering
the notion of ideals in BL-algebras,
we introduce some special ideals which
are related to a subset of a BL-algebra
and derive some new relations and results
about them. We also define the
concepts of ⊙-derivation for BL-algebras
and obtain some related results. Finally,
we investigate the connection between
these functions and BL-algebras

کلیدواژه‌ها [English]

  • Ideal
  • Congruence classes
  • Prime ideal
  • Maximal ideal
  • ⊙-derivation
  • Special idea