Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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  prove that algebras in are representable by quasi-polyadic relativized set algebras, or more exactly by algebras in .
['Miklós Ferenczi']
I am writing a research paper on a idea On the definition and the representability of quasi-polyadic equality algebras
[{"from": "human", "value": "I am writing a research paper on a idea On the definition and the representability of quasi-polyadic equality algebras"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  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  prove that algebras in are representable by quasi-polyadic relativized set algebras, or more exactly by algebras in ."}]