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On single-law definitions of groups
| Content Provider | Scilit |
|---|---|
| Author | Tasić, Vladimir |
| Copyright Year | 1988 |
| Description | It will be proved that any mononomic variety of groups can be considered as a variety of (ρ ε) or (ρ, τ) or (ν, ε)-algebras, or as a variety of n-groupoids—which satisfy a single law, where: xyρ = $x.y^{−1}$ = xτ = $x^{−1}$, xyν = $x^{−1}.y^{−1}$, ε is the identity, and for certain interpretations of the n-ary operation. The problem is discussed for Ω-groups, too. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E0FD670DBAD3D261256F8AE271F2C00B/S0004972700004196a.pdf/div-class-title-on-single-law-definitions-of-groups-div.pdf |
| Ending Page | 106 |
| Page Count | 6 |
| Starting Page | 101 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700004196 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 1 |
| Volume Number | 37 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1988-02-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society History and Philosophy of Science |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
