The torsion-freeness conjecture for two-term rack homology of associative shelves

An associative shelf is a set equipped with an associative, self-distributive binary operation. Its two-term (rack) homology groups are the homology groups obtained from the associated two-term shelf complex. Torsion-freeness conjecture. Associative shelves have no torsion in two-term (rack) homology. This conjecture concerns the effect of associativity on self-distributive algebraic structures; the paper presents it as a direction for further study based on preliminary computations.