TY - JOUR AU - Yiarayong, Pairote AU - Davvaz, Bijan AU - Chinram, Ronnason PY - 2022 TI - On right chain ordered semihypergroups JO - Journal of Mathematics and Computer Science SP - 59--72 VL - 24 IS - 1 AB - The purposes of this paper are to introduce generalizations of the right chain ordered semigroups to the context of the right chain ordered semihypergroups. Furthermore, we present the concepts of prime, completely prime, semiprime, and completely semiprime right hyperideals of ordered semihypergroups. We also introduce the idea of associated prime right hyperideals. Moreover, we give some characterizations of prime, completely prime, semiprime, and completely semiprime right hyperideals of ordered semihypergroups. Finally, we obtain necessary and sufficient prime right hyperideal conditions to be a semiprime right hyperideal. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.024.01.06 DO - 10.22436/jmcs.024.01.06 ID - Yiarayong2022 ER - TY - JOUR TI - Properties of hyperideals in ordered semihypergroups AU - T. Changphas AU - B. Davvaz JO - Ital. J. Pure Appl. Math. PY - 2014 DA - 2014// VL - 33 ID - Changphas2014 ER - TY - JOUR TI - On right chain ordered semigroups AU - T. Changphas AU - P. Luangchaisri AU - R. Mazurek JO - Semigroup Forum PY - 2018 DA - 2018// VL - 96 ID - Changphas2018 ER - TY - JOUR TI - Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder AU - B. Davvaz AU - P. Corsini AU - T. Changphas JO - European J. Combin. PY - 2015 DA - 2015// VL - 44 ID - Davvaz2015 ER - TY - JOUR TI - Characterizations of ordered semihypergroups by the properties of their intersectional-soft generalized bi-hyperideals AU - M. Farooq AU - A. Khan AU - B. Davvaz JO - Soft Comput PY - 2018 DA - 2018// VL - 22 ID - Farooq2018 ER - TY - JOUR TI - On right chain semigroups AU - M. Ferrero AU - R. Mazurek AU - A. Sant’Ana JO - J. Algebra PY - 2005 DA - 2005// VL - 292 ID - Ferrero2005 ER - TY - JOUR TI - $EL^2$–hyperstructures Derived from (Partially) Quasi Ordered Hyperstructures AU - S. H. Ghazavi AU - S. M. Anvariyeh AU - S. Mirvakili JO - Iran. J. Math. Sci. Inform. PY - 2015 DA - 2015// VL - 10 ID - Ghazavi2015 ER - TY - JOUR TI - Ordered regular equivalence relations on ordered semihypergroups AU - Z. Gu AU - X. Tang JO - J. Algebra PY - 2016 DA - 2016// VL - 450 ID - Gu2016 ER - TY - JOUR TI - Characterizations of (strongly) ordered regular relations on ordered semihypergroups AU - Z. Gu AU - X.Tang JO - J. Algebra PY - 2016 DA - 2016// VL - 465 ID - Gu2016 ER - TY - JOUR TI - On ordered hyperstructures AU - D. Heidari AU - B. Davvaz JO - Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. PY - 2011 DA - 2011// VL - 73 ID - Heidari2011 ER - TY - JOUR TI - Contribution to study special kinds of hyperideals in ordered semihyperrings AU - S. Omidi AU - B. Davvaz JO - J. Taibah Univ. Sci. PY - 2017 DA - 2017// VL - 11 ID - Omidi2017 ER - TY - JOUR TI - An investigation on ordered algebraic hyperstructures AU - S. Omidi AU - B. Davvaz AU - J .M. Zhan JO - Acta Math. Sin. (Engl. Ser.) PY - 2017 DA - 2017// VL - 33 ID - Omidi2017 ER - TY - JOUR TI - Hyperfilters and fuzzy hyperfilters of ordered semihypergroups AU - J. Tang AU - B. Davvaz AU - Y. Luo JO - J. Intell. Fuzzy Systems PY - 2015 DA - 2015// VL - 29 ID - Tang2015 ER - TY - JOUR TI - An investigation on hyper S-posets over ordered semihypergroups AU - J. Tang AU - B. Davvaz AU - X.-Y. Xie JO - Open Math. PY - 2017 DA - 2017// VL - 15 ID - Tang2017 ER - TY - JOUR TI - A study on (strong) order-congruences in ordered semihypergroups AU - J. Tang AU - Y. Luo AU - X. Xie JO - Turk. J. Math. PY - 2018 DA - 2018// VL - 42 ID - Tang2018 ER - TY - JOUR TI - An investigation on left hyperideals of ordered semihypergroups AU - J. Tang AU - X. Xie JO - J. Math. Res. Appl. PY - 2017 DA - 2017// VL - 37 ID - Tang2017 ER -