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Results tagged with ra.rings-and-algebras
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user 3988
Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.
9
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Can any properties of a ring other than being a field be captured by the geometry of its 2-d...
Can any properties of a ring other than being a field be captured by the geometry of its 2-dimensional free module?
Background:
In his wonderful, wonderful book Geometric Algebra, Emil Artin describes …
- 4,713
3
votes
Group ring and left zero divisor
Using the miniscule amounts of representation theory I know, you can construct an example as follows.
Let $G=S_3=D_6=\left< r,s\mid r^3=s^2=srsr=e \right>$ (rotation $r$ and flip $s$), and let $K=\ma …
- 573