Essays about: "Partially ordered set"

Found 5 essays containing the words Partially ordered set.

1. 1. The Ext-Algebra of Standard Modules of Bound Twisted Double Incidence Algebras

   University essay from Uppsala universitet/Algebra, logik och representationsteori

   Author : Mika Norlén Jäderberg; [2023]
   Keywords : Algebras; Finite-dimensional; Partially ordered sets; Modules; Quasi-hereditary; Ext-algebra; Schur algebra; Quiver; Path algebra; Categories; Morita equivalence; Yoneda product; Standard module; Homological algebra; Cohomology; Anick Chains;

   Abstract : Quasi-hereditary algebras are an important class of algebras with many appli-cations in representation theory, most notably the representation theory of semi-simple complex Lie-algebras. Such algebras sometimes admit an exact Borel sub-algebra, that is a subalgebra satisfying similar formal properties to the Borel sub-algebras from Lie theory. READ MORE

3. 2. A Study on Poset Probability

   University essay from Linköpings universitet/Algebra, geometri och diskret matematik; Linköpings universitet/Tekniska fakulteten

   Author : Albin Jaldevik; [2022]
   Keywords : Discrete mathematics; Order theory; Combinatorics; Partially ordered set; Poset; Linear extension; Topological sorting; Probability; Partition; Young diagram;

   Abstract : Let be a finite poset (partially ordered set) with cardinality . A linear extension of is an order-preserving bijection : , that is, if in then . We define the poset probability as the proportion of linear extensions where . We are primarily interested in for incomparable elements . READ MORE

4. 3. From Relations to Simplicial Complexes: A Toolkit for the Topological Analysis of Networks

   University essay from KTH/Matematik (Avd.)

   Author : Johan Lord; [2021]
   Keywords : applied algebraic topology; complex networks; topological data analysis; brain network analysis;

   Abstract : We present a rigorous yet accessible introduction to structures on finite sets foundational for a formal study of complex networks. This includes a thorough treatment of binary relations, distance spaces, their properties and similarities. READ MORE

5. 4. The Defense of Superior Orders - Article 33 of the ICC statute: a departure from customary international law?

   University essay from Lunds universitet/Juridiska institutionen; Lunds universitet/Juridiska fakulteten

   Author : Marcus Abrahamsson; [2018]
   Keywords : public international law; international criminal law; jurisprudence; law; Law and Political Science;

   Abstract : The defence of superior orders is the answer to what is called the soldier’s dilemma. This is so called since on the one hand, a soldier is bound by national legislation, military practice, and often psychological pressure to unquestioningly follow the orders of his superior. READ MORE

6. 5. Extension and Evaluation of Routing with Hints in NetInf Information-Centric Networking

   University essay from KTH/Skolan för informations- och kommunikationsteknik (ICT)

   Author : Christos-Christodoulos Tsakiroglou; [2014]
   Keywords : ;

   Abstract : Content distribution is the main driver for Internet traffic growth. The traditional networking approach, focused on communication between hosts, cannot efficiently cope with the evolving problem. READ MORE