Let (H, [??]) be any
poset and define (H, +) as the biset hypergroup, i.e.
The proposed access control system uses
PoSET to create the group access structure which reduces the number of bilinear pairings.
From the previous description it follows that the elements of the
poset [P.sub.[alpha]] whose down-sets correspond to elements of [[??].sub.[alpha]](G), i.e., to [alpha]-orientations of G, are essential cycles.
We say that A is a sup-[OMEGA]-algebra if the
poset (A[less than or equal to]) is a complete lattice and
Recall that order graphs are the graph theoretical equivalents of finite
posets. When G is DI, the
poset defined by Join(G) turns out to be what in order theory is known under the name of dedekind complete.
* A partially-ordered, integral left-monoid, or a left-po-im for short, is a structure ([A.sup.L], [less than or equal to], [??], 1) such that ([A.sup.L], [less than or equal to], 1) is a
poset with greatest element 1 (i.e.
Let (L, [less than or equal to]) be a
poset. Then L with the dual order is also a
poset and denoted by [L.sup.op].
A local-stream is a
poset ([S.sub.i], [right arrow] i) where [S.sub.i] is a finite set of atomic events [S.sub.i] = {[e.sub.1], [e.sub.2], ...
The
poset of k-shapes and branching rules for k-Schur functions.
When we start from the initial configuration and apply the evolution rules in a sequential way, generally we obtain an oriented graph which represents the Hasse diagram of a
poset of integer partitions with an order relation [??].
All bar their keeper ply their trade in European leagues and while Mohamed Diame will be known to English fans, it'sI brahima Baldewhowi ll
poset heirb iggest threat.