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Finite simple abelian algebras are strictly simple
| Content Provider | Semantic Scholar |
|---|---|
| Author | Valeriote, Matthew |
| Copyright Year | 1990 |
| Abstract | A finite universal algebra is called strictly simple if it is simple and has no nontrivial subalgebras. An algebra is said to be Abelian if for every term t(x,yp) and for all elements a, b, c, d, we have the following implication: t(a, c) = t(a, d) -t(b, c) = t(b, d) . It is shown that every finite simple Abelian universal algebra is strictly simple. This generalizes a well-known fact about Abelian groups and modules. |
| Starting Page | 49 |
| Ending Page | 57 |
| Page Count | 9 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9939-1990-0990434-2 |
| Volume Number | 108 |
| Alternate Webpage(s) | http://icarus.math.mcmaster.ca/~matt/publications/simple.pdf |
| Alternate Webpage(s) | http://www.ams.org/journals/proc/1990-108-01/S0002-9939-1990-0990434-2/S0002-9939-1990-0990434-2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9939-1990-0990434-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
