论文信息 - Subalgebras of Incidence Algebras Determined by Equivalence Relations

Subalgebras of Incidence Algebras Determined by Equivalence Relations

The main result of this paper is a necessary and sufficient condition on an equivalence relation R defined on the set of intervals of a locally finite partially ordered set S for the set of R-functions to be a subalgebra of the incidence algebra of S over a field of characteristic zero.

K. J. Harrison | W. E. Longstaff | W. Longstaff | K. Harrison

[1] G. Rota. On the foundations of combinatorial theory I. Theory of Möbius Functions , 1964 .

[2] David A. Smith. Incidence functions as generalized arithmetic functions, II. , 1969 .