We consider the inflation class operator, denoted by F, where for any class K of algebras, F(K) is the class of all inflations of algebras in K. We study the interaction of this operator with the usual algebraic operators H, S and P, and describe the partially-ordered monoid generated by H, S, P and F (with the isomorphism operator I as an identity).

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Algebra Universalis
School of Mathematics and Statistics

Christie, A., Wang, Q, & Wismath, S.L. (2007). The inflation class operator. Algebra Universalis (Vol. 56, pp. 107–118). doi:10.1007/s00012-006-1988-7