universal algebra, projectivity, arithmetic, prearithmetic, operation, grouppoid, ring
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Projectivity of Universal Algebras
Abstract: The basic relations between universal algebras are homomorphisms and their special cases – monomorphisms, epimorphisms, and isomorphisms (cf., for example, (Kurosh, 1963; Cohn, 1965)). In this paper, we introduce and study a novel relation between universal algebras, which is called projectivity and allows obtaining properties of universal algebras from properties of those universal algebras to which they are weakly or finally projective. The key property of projectivity relations is that …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 1, 2022 · pp. 6–20 Read article