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Hi! Need a little help with my homvework. PICTURE I allready have Hasse Diagram, so there's no need to do that.  Also know, it's union set - every element has supremum and infimum It's distributive - It doesn't contains isomorphic subunit M3 or N5  It's bounded - by H and A in Hasse Diagram But can't figure out, how to find out wheter it is Complementary and if it is Boolean union. Will you help me please? And also, be more specific in solution please, so I can better understand the topic. Thanks.

Hi! Need a little help with my homvework. PICTURE I allready have Hasse Diagram, so there's no need to do that.  Also know, it's union set - every element has supremum and infimum It's distributive - It doesn't contains isomorphic subunit M3 or N5  It's bounded - by H and A in Hasse Diagram But can't figure out, how to find out wheter it is Complementary and if it is Boolean union. Will you help me please? And also, be more specific in solution please, so I can better understand the topic. Thanks.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Hi! Need a little help with my homvework. PICTURE

I allready have Hasse Diagram, so there's no need to do that. 

Also know, it's union set - every element has supremum and infimum
It's distributive - It doesn't contains isomorphic subunit M3 or N5 
It's bounded - by H and A in Hasse Diagram
But can't figure out, how to find out wheter it is Complementary and if it is Boolean union.

Will you help me please?

And also, be more specific in solution please, so I can better understand the topic.
Thanks.

On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a; e), (b; f), (c; f), (d; g), (e; g), (f; h), (g; h)}. Draw a Hasse Diagram for a partially ordered set (A, E) , where C is the transitive- reflexive closure of the relation R. Answer (and justify) the following questions: Is the (A, C) union set? If so, is it an (a) distributive association, (b) bounded, (c) complementary, (d) a Boolean?
Transcribed Image Text:On the set A = {a, b, c, d, e, f, g, h} is given by the relation R = {(a; b), (a; c), (a; d), (a; e), (b; f), (c; f), (d; g), (e; g), (f; h), (g; h)}. Draw a Hasse Diagram for a partially ordered set (A, E) , where C is the transitive- reflexive closure of the relation R. Answer (and justify) the following questions: Is the (A, C) union set? If so, is it an (a) distributive association, (b) bounded, (c) complementary, (d) a Boolean?
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