Let S={1,2,3,4}, and define a partial ordering of P(S) (the power set of S), by: A⪯B if and only if A⊆B. Is this partial ordering in fact a total ordering (chain)? Why or why not?
1
Expert's answer
2020-12-01T01:51:48-0500
For a set "S" a partial ordering of "P(S)" defined by: "A\u2aafB" if and only if "A\u2286B", is not a total ordering because for the sets "A=\\{1,2\\}" and "B=\\{3,4\\}" it is not true that "A\u2286B" or "B\u2286A."
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
Leave a comment