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Results tagged with ra.rings-and-algebras
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user 120914
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.
16
votes
The first female algebraist in US/Britain?
I think a very honourable mention is the American Ida May Schottenfels, who did not receive a PhD, but who nevertheless was very active in mathematical research:
Ida May Schottenfels graduated from N …
10
votes
Analogous results in geometric group theory and Riemannian geometry?
Here is a very classical example. As stated in the comments, Gromov was an early proponent of importing ideas from geometry to group theory, but already thirty years earlier there was work in this dir …
18
votes
Results from abstract algebra which look wrong (but are true)
In combinatorial group theory, loosely speaking almost any problem one can imagine, in full generality, turns out to be undecidable. This includes the word problem, the isomorphism problem, the trivia …
2
votes
Is there a CAS that can solve a given system of equations in a finite group algebra $kG$?
As you say you have a given system of equations, you can do this by brute-force in GAP. The following constructs a group algebra $kG$ in GAP -- this one constructs $kG$ when $k = GF(4)$ and $G = C_2$. …