The Generality of Finite Abstract Complexes.
نویسنده
چکیده
The discussion in Janet, LeCons sur les Systames d 'Aquations aux Dirivkes Partielles, Paris 1929, pp. 74-75, is particularly relevant. The other references are: C. Riquier, Les Systames d'Aquations aux Derivees Partielles, Paris, 1910, and J. M. Thomas, Differential Systems, New York, 1937. 8 See the author's paper "The General Geometry of Paths," Ann. Math., 29, 143-168 (1928). 9 For the definition of covariant differentiation, see formulla (9.2) of the paper cited in the preceding footnote.
منابع مشابه
Second symmetric powers of chain complexes
We investigate Buchbaum and Eisenbud's construction of the second symmetric power $s_R(X)$ of a chain complex $X$ of modules over a commutative ring $R$. We state and prove a number of results from the folklore of the subject for which we know of no good direct references. We also provide several explicit computations and examples. We use this construction to prove the following vers...
متن کامل(II) PREPARATION AND CHARACTERIZATION OF MN (III) COMPLEXES
We have prepared and characterized a few Mn (III) complexes by using a few bidentate and tridentate ligands. Spectra of the manganese (Abstract We have prepared and characterized a few Mn (III) complexes by using a few bidentate and tridentate ligands. Spectra of the manganese (III) ion in a variety of molecular environments are reported . On the basis of solution spectra, some of these co...
متن کاملAn Abstract Communication Model
We present an abstract communication model. The model is quite general even though it was developed in the process of specifying a particular network architecture, namely the Universal Plug and Play (UPnP) architecture. The generality of the model has been confirmed by its reuse for different architectures. The model is based on distributed abstract state machines and implemented in the specifi...
متن کاملGorenstein Injective Dimensions and Cohen-Macaulayness
Let (R,m) be a commutative noetherian local ring. In this paper we investigate the existence of a finitely generated R-module of finite Gorenstein dimension when R is Cohen-Macaulay. We study the Gorenstein injective dimension of local cohomology of complexes and next we show that if R is a non-Artinian Cohen-Macaulay ring, which does not have the minimal multiplicity, then R has a finite gener...
متن کاملSOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to the presentations of groups and their commutator subgroups. In particular, using these methods, we prove that the commutator subgroup of $mathbb{Z}_{m}*mathbb{Z}_{n}$ is free of rank $(m-1)(n-1)$ fo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 25 12 شماره
صفحات -
تاریخ انتشار 1939