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Journal of Mathematical Sciences

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

Conjugation properties in incidence algebras

  • V. E. Marenich
Article

Abstract

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.

Keywords

Matrix Theory Matrix Algebra Full Matrix Diagonal Function Full Matrix Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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