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On Pythagorean normal subbisemiring of bisemiring

Department of Natural and Applied Sciences, Glocal University, Mirzapur,saharanpur, Uttar Pradesh, 247121, India

Department of Mathematics and Statistics, Riphah International University, I-14, Islamabad, Pakistan

Department of Mathematics, Jamia Millia Islamia, New Delhi, 110 025, India

Department of Mathematics, Acharya Nagarjuna University, Guntur, Andhra Pradesh, 522 510, India

Department of Mathematics, D. A. V. College, Jalandhar, Punjab-144 008, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (1),
Received: 6 February 2021 |
Accepted: 21 March 2021 |
Published: 31 March 2021


In the present paper, we introduce the relative left, right, lateral, two-sided hyperideal, relative quasi-hyperideal, relative bi-hyperideal, relative sub-idempotent ordered bi-hyperideal, relative generalized quasi-hyperideal, relative generalized bi-hyperideal, relative regularity of ordered ternary semihypergroups and relative left (right, lateral) simple ordered ternary semihypergroups. We characterize relative regular ordered ternary semihypergroups through relative quasi-hyperideals and relative bi-hyperideals. We also obtain some results based on relative simple ordered ternary semihypergroups, and other results connecting these relative hyperideal-theoretic notions.


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On Pythagorean normal subbisemiring of bisemiring.

Annals of Communications in Mathematics,

4 (1):
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (


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