Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 20 for “"Monoids"”.
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Homotopy Theory of Monoids and Group Completion
… and partial models for the homotopy theory of monoids and the derived functor of group completion. We show that there is a simplicial model structure on the category of reduced simplicial sets that is Quillen equivalent to the Quillen model structure of simplicial monoids. Using this Quillen …
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Algebraic structure of endomorphism monoids of finite graphs
Unser Ziel in dieser Dissertation ist die Untersuchung der Beziehung zwischen der Halbgruppen-Theorie und der Graphen-Theorie. Da es bekannt ist, dass End(G) die Menge aller Endomorphismen von Graphen ein Monoid ist, konzentrieren wir uns auf die algebraischen Strukturen, wie regulär, vollständig …
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Unification and equation solving in nilpotent groups and monoids
… we consider partially commutative groups and monoids. Nilpotency provides us with a partial commutativity condition in the case of groups. It is noted that unification in a theory is equivalent to equation solving in a free model of that theory if such a model exists. The unification algorithm …
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Homological classification of monoids by projectivities of right acts
Die Darstellung von Monoiden durch Transformationen von Mengen, die zu Akten über Monoiden führt, ist die Basis dieser Dissertation. Eine große Anzahl von Ergebnissen über Akte über Monoiden beziehen sich auf Fragen der homologischen Klassifikation, in der Eigenschaften von Akten über einem Monoid …
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The Structure of endomorphism monoids of strong semilattices of left simple semigroups
… Strukturen und Eigenschaften des Endomorphismenmonoids eines starken Halbverbands von links einfachen Halbgruppen. Für solche Halbgruppen betrachten wir vor allem die Situation, dass die definierenden Homomorphismen konstant sind oder Isomorphismen. Für beliebige definierende Homomorphismen ist …
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Kinematic Chain Monoids for Real-Time Kinodynamic Trajectory Optimization in Legged Robots
… a novel formulation of kinematic chains as monoids, which provides a concise representation of the kinodynamics of the limbs of a walking robot. The proposed approach enables easier and more efficient constraints in trajectory planning optimization for robots assuming massless legs. I will …
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Exploring the multiplicative structure of Z/nZ
… between two prime power multiplicative modular monoids, aiming to understand their algebraic and structural properties. These sets of homomorphisms provide valuable insight into the actions, semidirect products, endomorphisms, and automorphisms associated with such monoids. Considering the set …
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Species and Hyperplane Arrangements
… dissertation has two leading characters: Hopf monoids in the category of species and the Tits algebra of a real hyperplane arrangement. The relation between these two comes from the work of Aguiar and Mahajan (2013), who showed that a (co)commutative Hopf monoid gives rise to a family of …
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Categories of Residuated Lattices
… The Galatos-Raftery construction of Sugihara monoids and their bounded expansions, and the Aguzzoli-Flaminio-Ugolini quadruples construction of srDL-algebras. Our dual presentation of these constructions is facilitated by both new algebraic results, and new duality-theoretic tools. On the …
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Restriction Semigroups: Structure, Varieties and Presentations
… semigroups arise from partial transformation monoids and form a wider class than inverse semigroups. Firstly, we produce a presentation of the Szendrei expansion of a monoid, which is a left restriction monoid, using a similar approach to Exel's presentation for the Szendrei expansion of a …
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A study of the phenomena of conjoining terms and related aberrant transformations in the simplification of algebraic expressions by Grade 8 learners of two secondary schools in the Western Cape
… string operations, and the use of addition-like monoids. Furthermore, the biologically endowed cognitive operation, merge, is implicated as generative of the concatenation of the results of type-specific computations central to aberrant conjoining, and as the ground for the system of …
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Categorical semantics and composition of tree transducers
… and monad transformers. In the same way as monoids are used in the theory of character string automata, we use monads in the theory of tree transducers. We generalize the notion of a tree transducer defining the monadic transducer, and we prove an according fusion theorem. Moreover, we prove …
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Descent Systems, Eulerian Polynomials and Toric Varieties
… comes naturally from the theory of algebraic monoids. Using effectively the cross section lattice of a reductive monoid and the combinatorics of simple polytopes, we obtain a recurrence formula for the Poincar e polynomial of X(J) in terms of the Eulerian polynomials. Furthermore, we compute …
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Generalized Numerical Semigroups
Submonoids of $\mathbb{N}^{d}$ with finite complement in $\mathbb{N}^{d}$, thought as a straightforward generalization of numerical semigroups, are considered for the first time in a recent work of G. Failla, C. Peterson and R.Utano. Such monoids are called there \emph{generalized numerical …
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Formalizing Clifford algebras and related constructions in the Lean theorem prover
… objects, a novel formalization of graded monoids, rings and algebras, and a deeper dive into intricate traps around typeclasses that originate in the language itself. Part III begins by illuminating informally how to build a library of results around Clifford algebras using the universal …
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Klassifikation gewisser Darstellungen halbeinfacher Liealgebren
… Wurzeln). Diese Identifizierung liefert die Monoidstruktur von M . Zu einer Darstellung pi von L kann man die symmetrische Algebra von pi betrachten (als unendlich dimensionale Darstellung, welche die symmetrischen Potenzen von pi als endlich dimensionale direkte Summanden enthält.) Ein …
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The Finite Embeddability Property for Some Noncommutative Knotted Varieties of RL and DRL
… on finding the free object over the class of pomonoids that satisfy the previous equality and �� ≤ ��.</p> <p>Chapter 3 focuses on the study of the noncommutative equation that we use to define the varieties studied in the following two chapters. This equation arises as a natural generalization …