The transcendental rank of the formulas of an S1-categorical theory |
| |
Authors: | B I Zil'ber |
| |
Institution: | 1. Novosibirsk State University, USSR
|
| |
Abstract: | In this paper we investigate the transcendental rank introduced by Morley. We introduce the concept of a fibering and prove a series of lemmas about fibering, on the basis of which we prove the main theorems: on an estimate for the rank of a formula (Theorem 3); on the summation of ranks (Theorem 2); and a reproof of Baldwin's theorem on the finiteness of the rank of S1-categorical theories (Theorem 1). |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |