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pseudodifference

Keywords: 
difference,complement
Synonym: 
pseudo difference
Type of Math Object: 
Definition
Major Section: 
Reference
Groups audience: 

Mathematics Subject Classification

06B99 no label found

Comments

Pseudodifference of lattice L elements a and b is defined by the
formula:
a \* b = min { z in L | a <= (b /\ z) }.

Now one more formula:
a # b = \bigcup { x in L | x <= a and (x /\ b) = 0 }
(where 0 is the least lattice element).

Questions:
1. How "a # b" is called?
2. When a # b = a \* b?
--
Victor Porton - http://www.mathematics21.org
* Algebraic General Topology and Math Synthesis

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