TY - JOUR T1 - On Different Definitions of Hyper Pseudo BCC-algebras AU - Sürgevil Uzay, Didem AU - Fırat, Alev PY - 2023 DA - July DO - 10.54974/fcmathsci.1145287 JF - Fundamentals of Contemporary Mathematical Sciences JO - FCMS PB - Mustafa UÇKUN WT - DergiPark SN - 2717-6185 SP - 56 EP - 65 VL - 4 IS - 2 LA - en AB - We study hyper pseudo BCC-algebras which are a common generalization of hyper BCC-algebras and hyper BCK-algebras. In particular, we introduce different notion of hyper pseudo BCC-algebras and describe the relationship among them. Then, by choosing one of these definitions, we investigate for its related properties. KW - hyper pseudo order KW - hyper operation KW - hyper pseudo BCC-algebras CR - Borzooei R.A., Dudek W.A., Koohestani N., On hyper BCC-algebras, International Journal of Mathematics and Mathematical Sciences, 1-18, 2006. CR - Borzooei R.A., Rezazadeh A., Ameri R., On hyper pseudo BCK-algebras, Iranian Journal of Mathematical Sciences and Informatics, 9(1), 13-29, 2014. CR - Dudek W.A., On BCC-algebras, Logique & et Analyse Nouvelle Série, 33(129-130), 103-111, 1990. CR - Iseki K., Tanaka S., An introduction to the theory of BCK-algebras, Mathematica Japonica, 23, 1-26, 1978. CR - Jun Y.B., Zahedi M.M., Xin X.L., Borzooei R.A., On hyper BCK-algebras, Italian Journal of Pure and Applied Mathematics, 8, 127-136, 2000. CR - Komori Y., The class of BCC-algebras is not a variety, Mathematica Japonica, 29(3), 391-394, 1984. CR - Marty F., Sur une generalization de la notion de groupe, In Eighth Congress Math. Scandinaves, 45-49, 1934. UR - https://doi.org/10.54974/fcmathsci.1145287 L1 - https://dergipark.org.tr/en/download/article-file/2544260 ER -