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Closed Sets of Monomials in Two Variables Generated by Singletons
Hajime Machida and Jovanka Pantović

We consider closed sets of monomials in two variables over a finite field GF(k), generated by singletons. For a two-variable monomial m, the closed set of monomials generated by m is defined as a set of terms of type {m} over {x, y}. We describe the structure of the poset of closed sets of monomials generated by monomials of the form xyp and determine minimal and maximal idempotent binary monomials.

Keywords: Clone, monomial clone, minimal monomial

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