Sökning: "hom-associative algebra"

Hittade 2 uppsatser innehållade orden hom-associative algebra.

1. 1. Examples of G-Hom-Associative Algebras

   Master-uppsats, Mälardalens universitet/Akademin för utbildning, kultur och kommunikation

   Författare :Felicia Modin; [2024]
   Nyckelord :G-hom-associative algebra; hom-associative algebra; hom-Lie admissible algebra;

   Sammanfattning : In this thesis we look at hom-associative algebras (which turn out to be exactly the G1-hom-associative algebras), by, in two and three dimensions, trying to find the structure constants for which an algebra becomes hom-associative when the homomorphism 𝛼 is defined as different matrix units. These algebras are also hom-Lie admissible (or G6-hom-associative, which turn out to be the same thing) with a commutator, so we also find the commutator for each of these hom-Lie admissible algebras. LÄS MER

3. 2. Commuting elements in hom-associative algebras

   Master-uppsats, Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

   Författare :Viktor Klinga; [2021]
   Nyckelord :Hom-associative; algebra; non-commutative;

   Sammanfattning : In this thesis, we consider hom-associative algebras, which is an algebra with multiplication that is not necessarily commutative nor associative, but obeys a twisted version of associativity by a linear homomorphism. We will give some conditions for associativity, which helps us determine commuting elements. LÄS MER