I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2003, VOLUME 9, NUMBER 3, PAGES 111-123
Conjugation properties in incidence algebras
V. E. Marenich
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Incidence algebras can be regarded as a generalization of full
We present some conjugation properties for incidence functions.
The list of results is as follows: a criterion for
a convex-diagonal function to be conjugated to the
diagonal function ; conditions under which
holds (the function
may be thought of as an analog for a Jordan box from matrix
theory); a proof of the conjugation of two functions
partially ordered sets that satisfy the conditions mentioned above;
an example of a partially ordered set for which the
does not hold.
These results involve conjugation criteria for convex-diagonal
functions of some partially ordered sets.
Last modified: January 24, 2005.