homomorphic preimage

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Dyck language — In the theory of formal languages of computer science, mathematics, and linguistics, the Dyck language is the language consisting of balanced strings of parentheses [ and ]. It is important in the parsing of expressions that must have a correctly … Wikipedia
Normal subgroup — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product … Wikipedia
Inverse semigroup — In mathematics, an inverse semigroup S is a semigroup in which every element x in S has a unique inverse y in S in the sense that x = xyx and y = yxy. Inverse semigroups appear in a range of contexts; for example, they can be employed in the… … Wikipedia

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