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.
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The authors are extremely grateful to the editor and the referee for his/her valuable comments and helpful suggestions which help to improve the paper.
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Kazemiasl, J., Haghani, F.K. & Heidarian, S. Some results on Noetherian and Artinian BL-algebras. Indian J Pure Appl Math 51, 705–715 (2020). https://doi.org/10.1007/s13226-020-0425-5
- Artinian (Noetherian) BL-algebra
- composition series
- maximal filter
- short exact sequence
2010 Mathematics Subject Classification