News

citefactor-journal-indexing

A NOTE ON GROUP INVARIANT INCIDENCE FUNCTIONS

Abstract. Partially ordered sets (X, ?) and the corresponding incidence algebra I(X, F) are important algebraic structures also playing a crucial role for the enumeration, construction and the classification of many discrete structures. In this paper we consider partially ordered sets X on which some group G acts via the mapping X ×G ? X, (x, g) ? x^g and investigate such incidence functions ? : X × X ? F of the incidence algebra I(X, F) which are invariant under the group action, i. e. which satisfy the condition ?(x, y) = ?(x^g, y^g) for all x, y ? X and g ? G. Within these considerations we define for such incidence functions ? the matrices ?^? respectively ?^? by summation of entries of ? and we investigate the structure of these matrices and generalize the results known from group actions on posets.



Real Time Impact Factor: Pending

Author Name:

URL: View PDF

Keywords: Keywords: Incidence algebra; group action; Plesken matrices.

ISSN: 1306- 6048

EISSN:


EOI/DOI:


Add Citation Views: 1














Search


Advance Search

Get Eoi for your journal/conference/thesis paper.

Note: Get EOI for Journal/Conference/ Thesis paper.
(contact: eoi@citefactor.org).

citefactor-paper-indexing

Share With Us












Directory Indexing of International Research Journals