1
vote
0answers
21 views

Every right principal ideal non-emptily intersects the center — what is that?

This is a follow-up to Do Lipschitz/Hurwitz quaternions satisfy the Ore condition? Jyrki Lahtonen answered the question in the positive by noticing that every right principal ideal in either ring has ...
2
votes
1answer
49 views

Testing for the cancellation laws

When I'm given a presentation of a finitely generated semigroup/monoid, are there any tricks I could use to check if it is cancellative on both sides? I'm not asking for a general algorithm, as I ...
4
votes
1answer
99 views

definition of (semi)group (co)homology

I'm puzzled why "group cohomology" contains terms 'group' (instead of 'semigroup') and 'cohomology' (instead oh 'homology and cohomology'). I'm new to the subject. Please inform me of any claims ...
14
votes
2answers
1k views

(Organic) Chemistry for Mathematicians

Recently I've been reading "The Wild Book" which applies semigroup theory to, among other things, chemical reactions. If I google for mathematics and chemistry together, most of the results are to do ...