Some results on Noetherian and Artinian BL-algebras

Jamal Kazemiasl (), Farhad Khaksar Haghani () and Shahram Heidarian ()
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Jamal Kazemiasl: Islamic Azad University
Farhad Khaksar Haghani: Islamic Azad University
Shahram Heidarian: Islamic Azad University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 705-715

Abstract: 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.

Keywords: Artinian (Noetherian) BL-algebra; composition series; maximal filter; short exact sequence; 03G25; 03G99; 06D99 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0425-5

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