TY - JOUR ID - 160777 TI - On ringoids JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Neggers, J. AU - Kim, H.S. AU - Rezaei, A. AD - Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U.S.A. AD - Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea AD - Department of Mathematics, Payame Noor University, 19395-4697, Tehran, Iran Y1 - 2022 PY - 2022 VL - 3 IS - 4 SP - 37 EP - 50 KW - (linear) groupoid KW - (left zero KW - d-algebra KW - leftoid KW - distributive) ringoid KW - (r KW - s)-ringoid KW - Parallel DO - 10.52547/HATEF.JAHLA.3.4.3 N2 - In this paper, we introduce the notion of a ringoid, and we obtain left distributive ringoids over a field which are not rings. We introduce several different types of ringoids, and also we discuss on (r, s)-ringoids. Moreover, we discuss geometric observations of the parallelism of vectors in several ringoids.  UR - https://jahla.hatef.ac.ir/article_160777.html L1 - https://jahla.hatef.ac.ir/article_160777_62f8d515e82e60f645dbb2ec3bf2be44.pdf ER -