Essays about: "Algebra"

Showing result 31 - 35 of 279 essays containing the word Algebra.

  1. 31. Relative Hochschild (co)homology

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Jonathan Lindell; [2022]
    Keywords : Algebras; Hochschild cohomology; Relative Hochschild cohomology; Corings; Bocses; Homological algebra; Relative homological algebra; Spectral sequences; Relative homological algebra; Dual corings;

    Abstract : We study relative homological algebra and relative Hochschild cohomology. We dualise the construction in [Cib+21b] for a ring extension B ⊆ A to construct a long nearly exact sequence for the relative Hochschild cohomology HH∗(A|B), the Hochschild cohomology HH∗(A) and the Hochschild cohomology HH∗(B,A). READ MORE

  3. 32. Language Theoretic Properties of Graph Extension Languages : An Investigation of Graph Extension Grammars with Context Matching and Logic

    University essay from Umeå universitet/Institutionen för datavetenskap

    Author : Yannick Stade; [2022]
    Keywords : graph language; formal language; theoretical computer science;

    Abstract : Graph extension grammars provide a way to define graph languages. They consist of a regular tree grammar and an algebra. The regular tree grammar generates trees, so-called derivation trees. Those are evaluated by the algebra into a set of graphs. READ MORE

  4. 33. Perron–Frobenius theorem and Z≥0[S3]-semimodules

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Mikolaj Cuszynski-Kruk; [2022]
    Keywords : ;

    Abstract : In this thesis, the Perron–Frobenius theorem which in its most general formstates that the spectral radius of a non-negative real square matrix is an eigenvaluewith a non-negative eigenvector, is proven. Related properties arederived, in particular the Collatz–Wielandt formula and a general form of anon-negative idempotent matrices. READ MORE

  5. 34. 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

  6. 35. Exceptional Groups and their Generators

    University essay from Uppsala universitet/Algebra, logik och representationsteori

    Author : Hassan Ali; [2022]
    Keywords : ;

    Abstract : Exceptional algebraic groups are divided into five types, namely G2, F4,E6, E7 and E8. In this thesis we discuss G2, F4 and E6. We discuss the exceptionalalgebraic groups via octonion algebras and Jordan algebras. We firstconsider the groups of type G2. READ MORE