Abstract

This chapter presents the group modifications of some partial groupoids. The chapter investigates the modifications (i.e. relfexions) of certain partial groupoids into the category of groups. A partial groupoid means a non-empty set together with a partial binary operation (possibly empty). By a pseudoimmersion (resp. immersion) of a partial groupoid K into a partial groupoid L means any homomorphism f of K into L such that the restrictions f | B(K) and f | C(K)(resp. f | B(K), f | C(K)and f | D(K)) are injective mappings. A partial groupoid K is said to be balanced if the sets B(K) , C(K) and D(K) are pair-wise disjoint.

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