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Some results on Noetherian and Artinian BL-algebras

Author

Listed:
  • Jamal Kazemiasl

    (Islamic Azad University)

  • Farhad Khaksar Haghani

    (Islamic Azad University)

  • Shahram Heidarian

    (Islamic Azad University)

Abstract

In this paper, we obtain some relations between Noetherian and Artinian BL-algebras. Further, we derive some theorems and lemmas for composition series, Artinian BL-argebera, as well as the relations between Noetherian, Artinian and short exact sequences. We further study the Noetherian and Artinian over homomorphism BL-algebras and obtain some new results concerning to the essential deductive systems of BL-algebras.

Suggested Citation

  • Jamal Kazemiasl & Farhad Khaksar Haghani & Shahram Heidarian, 2020. "Some results on Noetherian and Artinian BL-algebras," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(2), pages 705-715, June.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:2:d:10.1007_s13226-020-0425-5
    DOI: 10.1007/s13226-020-0425-5
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