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Structure of Chinese algebras
Chinese monoid monoid algebra prime ideal homogeneous congruence
2010/12/14
The structure of the algebra K[M] of the Chinese monoid M over a field K is studied. The minimal prime ideals are described. They are determined by certain homogeneous congruences on M and they are in...
On the Davenport constant and on the structure of extremal zero-sum free sequences
zero-sum sequence Davenport constant
2010/12/14
Let G = Cn1 . . .Cnr with 1 < n1 | . . . | nr be a finite abelian group, d(G) = n1+. . .+
nr −r, and let d(G) denote the maximal length of a zero-sum free sequence over G. Then d(G) d(G),...
The Lattice and Simplex Structure of States on Pseudo Effect Algebras
Pseudo effect algebra effect algebra Riesz Decomposition Properties
2010/11/30
We study states, measures, and signed measures on pseudo effect algebras with some kind of the Riesz Decomposition Property, (RDP). We show that the set of all Jordan signed measures is always an Abel...