Journal of Mathematical Sciences

, Volume 135, Issue 5, pp 3341–3349 | Cite as

Conjugation properties in incidence algebras

  • V. E. Marenich


Incidence algebras can be regarded as a generalization of full matrix algebras. We present some conjugation properties for incidence functions. The list of results is as follows: a criterion for a convexdiagonal function f to be conjugated to the diagonal function fe; conditions under which the conjugacy fCe + ζ-holds (the function Ce + ζ-may be thought of as an analog for a Jordan box from matrix theory); a proof of the conjugation of two functions ζ< and gz-for partially ordered sets that satisfy the conditions mentioned above; an example of a partially ordered set for which the conjugacy ζ<ζ-does not hold. These results involve conjugation criteria for convex-diagonal functions of some partially ordered sets.


Matrix Theory Matrix Algebra Full Matrix Diagonal Function Full Matrix Algebra 
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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • V. E. Marenich
    • 1
  1. 1.Moscow State UniversityRussia

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