Some Relations on Noetherian and Boolean Artinian BL-algebras

Authors

  • Jamal Kazemiasl Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
  • Farhad Khaksar Haghani Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.
  • Shahram Heidarian Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Keywords:

Noetherian BL-algebra, Boolean Artinian BL-algebra, Prime lters, Generated lters, Deductive system.

Abstract

In this paper, we derive some new result on Noetherian
and Boolean Artinian BL-algebras. We further obtain some relations
between local and semilocal BL-algebras and Boolean Artinian BL-
algebras

Author Biographies

Jamal Kazemiasl, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Ph.D student of Mathematics,

Department of Mathematics, Faculty of Basic Science,

Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Farhad Khaksar Haghani, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Associate Professor of Mathematics,

Department of Mathematics, Faculty of Basic Science,

Shahrekord Branch, Islamic Azad University, Shahrekord, Iran

Shahram Heidarian, Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

Assistant Professor of  Mathematics,

Department of Mathematics, Faculty of Basic Science, Shahrekord Branch, Islamic Azad University, Shahrekord, Iran.

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Published

2019-09-22

Issue

Vol. 14

Section

Vol. 14, No. 3, (2020)

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