arXiv subjects
Publications and source records attributed to C. Martínez.
If $\A$ is an algebra over a field $\F$ and $\s$ is a generating set of $\A$, the length of $\s$ indicates the maximal length needed to express an arbitrary element of $\A$ as a linear combination of words in the elements of $\s$. The length of an algebra $\A$ is defined as the maximum of lengths of its generating sets. In this paper (not necessarily associative) algebras, over fields of arbitrary characteristic, having length equal to 1 are determined.
We present 6 new transits of the system WASP-4. Together with 28 light curves published in the literature, we perform an homogeneous study of its parameters and search for variations in the transit's central times. The final values agree with those previously reported, except for a slightly lower inclination. We find no significant long-term variations in $i$ or $R_{P}/R_{\star}$. The $O-C$ mid-transit times do not show signs of TTVs greater than 54 s.