Published August 31, 2022 | Version v2
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Applications of Hyperideals in Characterizations of Left Regular LA-semihyperrings

  • 1. Department of Mathematics and Statistics, The University of Haripur, KP, Pakistan
  • 2. Department of Mathematics, Abdul Wali Khan University, Mardan, KP, Pakistan
  • 3. Department of Mathematics, Faculty of Science and Arts, King Khalid University
  • 4. Faculty of Engineering, Arab Academy for Science \& Technology and Maritime Transport (AASTMT), Aswan Branch, Egypt

Description

The main objective of this paper is to investigate the class of left regular LA-semihyperrings with respect to their hyperideals. Then, produce the intresting characterizations of left regular LA-semihyperrings with respect to their hyperideals. In this connection, we prove that right (left, two sided, inerior, bi-, generalized bi-, quasi) hyperideals are coincide in a left regular LA-semihyperrings having pure left identity, these hyperideals are normally not coincide in other classes of regularities of LA-semihyperrings.

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Journal article: 2457-0834 (ISSN)