109,154 Hits in 4.5 sec

Limits of theory sequences over algebraically closed fields and applications

Wei Li, Shilong Ma
2004 Discrete Applied Mathematics  
It provides an approach to build a new theory by the limit of some sequence of formal theories and also has potential applications to scientiÿc and engineering problems.  ...  A computation model involving the computation of the limits of theory sequences is formally deÿned. It is called procedure scheme.  ...  Why to study limits of theory sequences over algebraically closed ÿelds As we have seen, during its execution, Analysis has to determine for a given w i whether w i ∈ L(G i−1 ) or w i ∈ L(G i−1 ).  ... 
doi:10.1016/s0166-218x(03)00196-3 fatcat:yrjke6peozbttebplhfn6c4abe

Page 822 of Mathematical Reviews Vol. , Issue 99b [page]

1991 Mathematical Reviews  
Let K be an ordinary dif- ferential field with char K = 0, differentiation D and algebraically closed field of constants Cx.  ...  The present paper fo- cuses on the sets of pseudo-limits of such sequences. Every F- transcendental pseudo-convergent sequence defines a valuation on the rational function field F(X).  ... 

Page 101 of Mathematical Reviews Vol. , Issue 89A [page]

1989 Mathematical Reviews  
These groups are well behaved when the groups H*(X,Z/I") are finite, which is the case when X is an algebraic va- riety over a separably closed field k and / 4 chark.  ...  Correction to: “Notes on absolute Hodge cohomology” [Applications of algebraic K -theory to algebraic geometry and number theory, Part I, IT (Boulder, Colo., 1983), 35-68, Amer. Math.  ... 

Page 1736 of Mathematical Reviews Vol. , Issue 2000c [page]

2000 Mathematical Reviews  
Let K be an algebraically closed field and A = (Aj,---,A») and X = (x,-++,Xn) systems of variables.  ...  Let K be an algebraically closed field of arbitrary characteristic and let f, g € K[x]. The authors study conditions for f and g to satisfy f (g(x)) = g(f(x)).  ... 

Page 6197 of Mathematical Reviews Vol. , Issue 98J [page]

1998 Mathematical Reviews  
As an application, the authors re-prove Saltman’s index reduction theorem for the index of a simple algebra over the func- tion field of a principal homogeneous space for a torus [D. J.  ...  Saltman, K-Theory 7 (1993), no. 4, 309-332; MR 94k:16049]. Fi- nally, they give generators and relations for Ko of a torus over a field.  ... 

Page 686 of Mathematical Reviews Vol. 48, Issue 3 [page]

1974 Mathematical Reviews  
Zham (Bratislava) ALGEBRAIC NUMBER THEORY, FIELD THEORY AND POLYNOMIALS See also 3895, 3945, 3965, 4696. Smyth, C. J. 3912 Closed sets of algebraic numbers in complete fields.  ...  ALGEBRAIC NUMBER THEORY, FIELD THEORY AND POLYNOMIALS 686 Choi, S. L. G. 3910 On sequences not containing a large sum-free subse- quence. Proc. Amer. Math. Soc. 41 (1973), 415-418.  ... 

Page 79 of Mathematical Reviews Vol. , Issue 84a [page]

1984 Mathematical Reviews  
Grayson, Finite generation of K-groups of a curve over a finite field (after Daniel Quillen) (pp. 69-90); Howard Hiller, Affine Lie algebras and algebraic K-theory (pp. 91-107); Johannes Huebschmann, Stem  ...  Wagoner, A picture description of the boundary map in algebraic K-theory (pp. 362-389); C. A. Weibel, Mayer-Vietoris sequences and mod p K-theory (pp. 390-407).  ... 

Page 635 of Mathematical Reviews Vol. , Issue 89B [page]

1989 Mathematical Reviews  
More im- portant, groups of finite Morley rank are very similar to algebraic groups, and rings, to finite-dimensional algebras over algebraically closed fields, etc.  ...  In par- ticular, tree-limits were applied to certain problems concerning existentially closed groups, skew fields and universal locally finite groups.  ... 

A new matrix model for noncommutative field theory

Giovanni Landi, Fedele Lizzi, Richard J. Szabo
2004 Physics Letters B  
The construction is based on the Elliott-Evans inductive limit decomposition of the noncommutative torus algebra.  ...  We describe a new regularization of quantum field theory on the noncommutative torus by means of one-dimensional matrix models.  ...  Mechanics Three applications • Perturbative Dynamics of φ 4 theory Graphs have ribbon structure.  ... 
doi:10.1016/j.physletb.2003.10.059 fatcat:fjuod3ewejdvxjxik7nhf65rhy

Modular representations and the cohomology of finite groups

Charles B. Thomas
1987 Topology and its Applications  
in algebraic K-theory.  ...  We discuss both this result and the analogue for finite fields, using facts about H*(G, iZ/r) to recover information on RF,(G).  ...  In order to prove that the inverse limits of the homotopy sets are isomorphic we consider the inverse limit spectral sequences for topological and algebraic K-theory.  ... 
doi:10.1016/0166-8641(87)90014-9 fatcat:5pk45mx5pnh5zkjsoae35pbe7y

Page 2620 of Mathematical Reviews Vol. , Issue 84g [page]

1984 Mathematical Reviews  
Burgin, Kurosh varieties of Q-algebras that are linear over a field (pp. 17-27).  ...  The following four classes are introduced: ® is the smallest class of short exact sequences closed under direct limits and containing 2; Si’ is the class of all short exact sequences which are direct limits  ... 

Stable étale realization and étale cobordism

Gereon Quick
2007 Advances in Mathematics  
Finally, we construct maps from algebraic to étale cobordism and discuss algebraic cobordism with finite coefficients over an algebraically closed field after inverting a Bott element.  ...  We show that there is a stable homotopy theory of profinite spaces and use it for two main applications.  ...  Acknowledgments I would like to use this opportunity to thank first of all Christopher Deninger for the suggestion to work on this topic.  ... 
doi:10.1016/j.aim.2007.03.005 fatcat:rh7ruhmnxfd2zgdlihtdkdozxe

Definable types in algebraically closed valued fields [article]

Pablo Cubides-Kovacsics, Françoise Delon
2014 arXiv   pre-print
Marker and Steinhorn shown that given two models M≺ N of an o-minimal theory, if all 1-types over M realized in N are definable, then all types over M realized in N are definable.  ...  In this article we characterize pairs of algebraically closed valued fields satisfying the same property.  ...  Let k be an algebraically closed field and K = k(X, Y ) a with 0 = v(k) < v(X) << v(Y ).  ... 
arXiv:1410.3589v1 fatcat:4hwisvh3vbdupbid3qfmdkpwy4

New Definitions of Sigma Field

Hind Fadhil Abbas
2020 Journal of Southwest Jiaotong University  
The main aim of this paper is to define the sigma field. Different types of sigma fields, along with the basic mathematics and examples, are also elaborated upon.  ...  The sigma field is a branch of mathematics that refers to the gathering of subsets includes sample space. It is useful in establishing a formal mathematical probability definition.  ...  ACKNOWLEDGMENTS The Author is thankful to Directorate of Education, Salah Eddin, Khaled Ibn Al Walid School for their kind support.  ... 
doi:10.35741/issn.0258-2724.55.1.15 fatcat:cfw5xremkrde7pp7hd3xw76sou

Page 1653 of Mathematical Reviews Vol. 49, Issue 5 [page]

1975 Mathematical Reviews  
Other applications of the M.V. sequence are given by the reviewer and M. Ojanguren [J. Pure Appl. Algebra 5 (1974), 345-360].  ...  K-theory sequence for the category Pic of Milnor and Bass is extended by the author to a long exact sequence of Cech cohomology with value in the units.  ... 
« Previous Showing results 1 — 15 out of 109,154 results