On the Theory of Left/Right Almost Groups and Hypergroups with their Relevant Enumerations

This paper presents the study of algebraic structures equipped with inverted associativity axiom. Initially, definition left and right almost-groups is introduced afterwards, focused on more general structures, which are almost-hypergroups their enumeration in cases order 2 3. The outcomes these enumerations compared corresponding hypergroups reveal interesting results. Next, fundamental properties proved. Subsequently, almost enriched axioms, like transposition axiom weak commutativity. creates new hypercompositional such as left/right almost-hypergroups, commutative hypergroups, join etc. analyzed studied well. Especially, existence neutral elements leads to separation into attractive non-attractive ones. If element accompanied symmetric well, then fortified polysymmetrical come being.