منابع مشابه
Nets and Groups
In this note we continue the investigation of symmetry-properties of nets, in §8 of a previous paper.f We make free use of the results and definitions of the first five sections of this paper to which reference will be made by prefixing I. 11. In this section we analyze the following property of division-systems with unit. (S) x(yz) = 1 if, and only if, (xy)z = 1. This property may clearly be d...
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Consider a hyperbolic group G and a quasiconvex subgroup H ⊂ G with [G : H] = ∞. We construct a set-theoretic section s : G/H → G of the quotient map (of sets) G → G/H such that s(G/H) is a net in G; that is, any element of G is a bounded distance from s(G/H). This section arises naturally as a set of points minimizing word-length in each fixed coset gH. The left action of G on G/H induces an a...
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Petri nets concepts provide additional tool for the modeling of metabolic networks. Especially the concepts of siphon and trap are used to study the role of trios phosphate isomerase’s (TPI) in trypanosome brucei metabolism. In this paper we show that the marked graph for groups with generating set has subset of places whose input transitions is equal to the output transitions and both of them ...
متن کاملHomology Groups of Pipeline Petri Nets
We study homology groups of elementary Petri nets for the pipeline systems. We show that the integral homology groups of these nets equal the group of integers in dimensions 0 and 1, and they are zero in other dimensions. We prove that directed homology groups of elementary Petri nets are zero in all dimensions.
متن کاملNETS AND SEPARATED S-POSETS
Nets, useful topological tools, used to generalize certainconcepts that may only be general enough in the context of metricspaces. In this work we introduce this concept in an $S$-poset, aposet with an action of a posemigroup $S$ on it whichis a very useful structure in computer sciences and interestingfor mathematicians, and give the the concept of $S$-net. Using $S$-nets and itsconvergency we...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1940
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1940-0002135-0