Results 271 to 280 of about 305,462 (309)
Some of the next articles are maybe not open access.
Character Group of a Relative Homology Group
The Annals of Mathematics, 1940If L is a subcomplex of a finite complex K, the topologically invariant factor group of the group of p-cycles of L bounding in K taken with respect to the subgroup of those bounding in L is useful in topology. The principal aim of this paper is to find its character group and to interpret the character group geometrically (theorems 4.2 and 4.4 at the ...
openaire +2 more sources
On The Homology Theory Of Abelian Groups
Canadian Journal of Mathematics, 19551. Introduction. In (1) we have introduced the notions of “construction” and “ generic acyclicity” in order to determine a homology theory for any class of multiplicative systems defined by identities. Among these classes the most interesting one is the class of associative and commutative systems II with a unit element (containing the class of abelian
Eilenberg, Samuel, MacLane, Saunders
openaire +2 more sources
ON THE HOMOLOGICAL DIMENSION OF GROUP ALGEBRAS OF SOLVABLE GROUPS
Mathematics of the USSR-Izvestiya, 1971In the paper we calculate the weak dimension of the group algebra of a solvable group and the projective dimension of the group algebra of a countable nilpotent group. Exact bounds are obtained for the projective dimension of the group algebra of a torsion-free solvable group. For the case that the principal ring is commutative and Noetherian we obtain
openaire +3 more sources
On Homology and Cohomology Groups of Remainders
gmj, 2004Abstract Border homology and cohomology groups of pairs of uniform spaces are defined and studied. These groups give an intrinsic characterization of Čech type homology and cohomology groups of the remainder of a uniform space.
Baladze, V., Turmanidze, L.
openaire +2 more sources
1982
In homological algebra one constructs homological invariants of algebraic objects by the following process, or some variant of it:
openaire +1 more source
In homological algebra one constructs homological invariants of algebraic objects by the following process, or some variant of it:
openaire +1 more source
On the subsheaves of the sheaf of the homology groups
1997Let \(X\) be a connected complex manifold. For each \(x\in X\), let \(H_x= \pi_1 (X,x)\) and let \({\mathcal H}_x =H_x/N_x\) where \(N_x\) is the commutator subgroup of \(H_x\). The authors obtain a sheaf \(({\mathcal H}, \pi)\) over \(X\). They classify the subsheaves of \({\mathcal H}\).
ÖZDEMİR, Murat, AKBULUT, Sezgin
openaire +2 more sources