
We show that the usual axiom system of quasi polyadic equality algebras is strongly redundant. Then, so called non‐commutative quasi‐polyadic equality algebras are introduced (), in which, among others, the commutativity of cylindrifications is dropped. As is known, quasi‐polyadic equality algebras are not representable in the classical sense, but we prove that algebras in are representable by quasi‐polyadic relativized set algebras, or more exactly by algebras in .
Cylindric and polyadic algebras; relation algebras, generalized weak quasi-polyadic relativized set algebra, transposition algebras, non-commutative quasi-polyadic equality algebras
Cylindric and polyadic algebras; relation algebras, generalized weak quasi-polyadic relativized set algebra, transposition algebras, non-commutative quasi-polyadic equality algebras
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