Results 241 to 250 of about 671,076 (285)

Validation of LILR antibody specificities and development of LILRA3-specific antibodies. [PDF]

Front Immunol
Tanimoto H, Nguyen TTT, Hasegawa G, Hashikawa Y, Hanayama R, Hirayasu K.   +5 more
europepmc   +1 more source

GenPath-PPH: Integrating gene expression and pathway networks via persistent path homology enhances detection of disease-relevant pathways. [PDF]

Comput Struct Biotechnol J
Abdullahi MS, Piro RM, Suratanee A, Plaimas K.   +3 more
europepmc   +1 more source

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On Generalized Homology of Artin Groups

Journal of Mathematical Sciences, 2003
Generalized braid groups \(\text{Br}({\mathcal D}_\infty)\), \(\text{Br}({\mathcal C}_m)\) and \(\text{Br}^g_\infty\) (braids of an infinite number of strings in a genus \(g\) handlebody) are considered and the Morava \(K\)-theory \(K(n)_*(\text{Br}({\mathcal D}_\infty))\), \(K(n)_*(\text{Br}^g_\infty)\), the Brown-Peterson homology \(\text{BP}_*(\text{
Broto, C., Vershinin, V. V.
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Homology Groups of Relations

The Annals of Mathematics, 1952
Any relation between the elements of a set X and the elements of a set Y is associated with two simplicial complexes K and L. A simplex of K is a finite set of elements of X related to a common element of Y; a simplex of L is a finite set of elements of Y related to a common element of X.
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Character Group of a Relative Homology Group

The Annals of Mathematics, 1940
If 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 ...
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Abelian Groups with a Vanishing Homology Group

Canadian Journal of Mathematics, 1969
In this paper, we wish to characterize those abelian groups whose integral homology groups vanish in some positive dimension. We obtain a complete characterization provided the dimension in which the homology vanishes is odd; in fact, we prove that the only abelian groups which possess a vanishing homology group in an odd dimension are, up to ...
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On The Homology Theory Of Abelian Groups

Canadian Journal of Mathematics, 1955
1. 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
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ON THE HOMOLOGICAL DIMENSION OF GROUP ALGEBRAS OF SOLVABLE GROUPS

Mathematics of the USSR-Izvestiya, 1971
In 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
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On Homology and Cohomology Groups of Remainders

gmj, 2004
Abstract 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.
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