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Results tagged with gm.general-mathematics
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Questions about mathematics which don't fall into the other arXiv categories. If you have a general question about mathematics but it is not research level, it's off-topic but it might be welcomed on Mathematics Stack Exchange.
5
votes
Is there any monoid in which the product of two non-invertible elements could be invertible?
Since the question came from an undergraduate level perspective, here's a slight variant on the answers given thus far that students might appreciate.
Take the vector space P of real polynomials. Th …
- 8,803
27
votes
Conceptual reason why the sign of a permutation is well-defined?
Some years ago, Keith Dennis posted a nice discussion of signs of permutations on the Group-Pub-Forum mailing list, following some papers by Cartier. I gave it to my graduate algebra class as a series …
- 8,803