J. Arthur Rank but continued to handle all distribution for the Rank organisation until 1955, when it was renamed J. Arthur Rank Film Distributors. In 1939 Rank consolidated his film production interests in both the Pinewood Film Studios and the Denham Film Studios. In 1938 Rank bought the Odeon Cinemas chain. and the Amalgamated Studios in Elstree, although the latter were never used as film studios by Rank. In 1941, it absorbed the Gaumont British, which owned 251 cinemas, and the Lime Grove Studios, (later owned by the BBC) and bought the Paramount Cinemas chain, so that by 1942 the Rank Organisation owned
Tsen rank whenever "N" > "d". Algebraically closed fields are of Diophantine dimension 0; quasi-algebraically closed fields of dimension 1. Clearly if a field is T then it is C, and T and C are equivalent, each being equivalent to being algebraically closed. It is not known whether Tsen rank and Diophantine dimension are equal in general. Tsen rank In mathematics, the Tsen rank of a field describes conditions under which a system of polynomial equations must have a solution in the field. The concept is named for C. C. Tsen, who introduced their study in 1936. We consider a system of