Star Product
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the star product of two graded posets (P,le_P) and (Q,le_Q), where P has a unique maximal element widehat{1} and Q has a unique minimal element widehat{0}, is a poset P Q on the set (Psetminuswidehat{1})cup(Qsetminuswidehat{0}). We define the partial order le_{P Q} by xle y if and only if: 1. {x,y}subset P, and xle_P y; 2. {x,y}subset Q, and xle_Q y; or 3. xin P and yin Q. In other words, we pluck out the top of P and the bottom of Q, and require that ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, the star product of two graded posets (P,le_P) and (Q,le_Q), where P has a unique maximal element widehat{1} and Q has a unique minimal element widehat{0}, is a poset P Q on the set (Psetminuswidehat{1})cup(Qsetminuswidehat{0}). We define the partial order le_{P Q} by xle y if and only if: 1. {x,y}subset P, and xle_P y; 2. {x,y}subset Q, and xle_Q y; or 3. xin P and yin Q. In other words, we pluck out the top of P and the bottom of Q, and require that everything in P be smaller than everything in Q. For example, suppose P and Q are the Boolean algebra on two elements.
