Jan 13
Quaternions gave us the word vector and yet we don’t allow a module over them to be called a vector space? What is this injustice??
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Quaternions gave us the word vector and yet we don’t allow a module over them to be called a vector space? What is this injustice??
Reblog if you think noncommutative settings are more beautiful than commutative settings in math
Girls we need to see more love for associative division algebras and division rings, they don’t get the love they need, we aren’t even taught that these are the same thing viewed from two different angles :,>
What's the diagram in the profile pic?
It represents the fact that there is a doubly-basis dependent definition for homomorphisms between right division ring modules as a left division ring module which induces an isomorphism with the module of matrices!
Basically it lets us treat homomorphisms as matrices multiplying Cartesian vectors if we have bases for our modules :)