- The term "Star product" may also refer to the Moyal product.
- 1. , and ;
- 2. , and ; or
- 3. and .
In other words, we pluck out the top of and the bottom of , and require that everything in be smaller than everything in .
For example, suppose and are the Boolean algebra on two elements.
Then is the poset with the Hasse diagram below.
The star product of Eulerian posets is Eulerian.
- Product order, a different way of combining posets
- Stanley, R., Flag -vectors and the -index, Math. Z. 216 (1994), 483-499.