Exponentiation without associativity
Exponentiations over the quantum algebra
We define and compare, by model-theoretical methods, some exponentiations over the quantum algebra . We discuss two cases, according to whether the parameter is a root of unity. We show that the universal enveloping algebra of embeds in a non-principal ultraproduct of , where varies over the primitive roots of unity.
Exponents of almost simple groups and an application to the restricted Burnside problem.
Exponents of modules and maps.
Exposé d'une théorie nouvelle des substitutions
Expression for a general element of an matrix.
Ext1 for Eyl modules of SL2 (K).
Extended fractional calculus of variations, complexified geodesics and Wong's fractional equations on complex plane and on Lie algebroids
In this work, we communicate the topic of complex Lie algebroids based on the extended fractional calculus of variations in the complex plane. The complexified Euler-Lagrange geodesics and Wong's fractional equations are derived. Many interesting consequences are explored.
Extended near hexagons and line systems.
Extended Triple Systems.
Extending a partial equivalence to a congruence and relative embeddings in universal algebras
Extending congruences on factors of ideally compactifiable semigroups.
Extending Group Modules in a Relatively Prime Case.
Extending partial isomorphisms and McAlister's covering theorem.
Extending the structural homomorphism of LCC loops
A loop is said to be left conjugacy closed if the set is closed under conjugation. Let be an LCC loop, let and be the left and right multiplication groups of respectively, and let be its inner mapping group, its multiplication group. By Drápal’s theorem [3, Theorem 2.8] there exists a homomorphism determined by . In this short note we examine different possible extensions of this and the uniqueness of these extensions.
Extension and reconstruction theorems for the Urysohn universal metric space
We prove some extension theorems involving uniformly continuous maps of the universal Urysohn space. As an application, we prove reconstruction theorems for certain groups of autohomeomorphisms of this space and of its open subsets.
Extension functors on the category of -solvable abelian groups
Extension of additive functionals and semicharacters on commutative semigroups.
Extension of Characters on *-Semigroups.
Extension of complexes of groups
Complexes of groups over ordered simplicial complexes are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups with coefficients in a -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or abelian kernel....