Results 11 to 20 of about 1,003,210 (193)

Cohomological dimension of an abelian monoid [PDF]

Proceedings of the American Mathematical Society, 1980
It is shown that the cohomological dimension of an abelian monoid is equal to that of its group reflection provided that the monoid is either finitely generated or cancellative.
Cheng, Charles Ching-An, Shapiro, Jay
openaire   +2 more sources

Strong Cohomological Dimension [PDF]

Bulletin of the Polish Academy of Sciences Mathematics, 2008
We characterize strong cohomological dimension of separable metric spaces in terms of extension of mappings. Using this characterization, we discuss the relation between strong cohomological dimension and (ordinal) cohomological dimension and give examples to clarify their gaps.
Jerzy Dydak, Akira Koyama
openaire   +3 more sources

Cohomological invariants of odd degree Jordan algebras [PDF]

, 2008
In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3.
MacDonald, Mark
core   +4 more sources

Cohomological Dimension and Schreier's Formula in Galois Cohomology [PDF]

Canadian Mathematical Bulletin, 2007
AbstractLet p be a prime and F a field containing a primitive p-th root of unity. Then for n ∈ N, the cohomological dimension of the maximal pro-p-quotient G of the absolute Galois group of F is at most n if and only if the corestriction maps are surjective for all open subgroups H of index p. Using this result, we generalize Schreier's formula for .
Labute, John, Lemire, Nicole, Minac, Jan, Swallow, John   +3 more
openaire   +2 more sources

On the cohomological dimension of the localization functor [PDF]

Proceedings of the American Mathematical Society, 1990
The localization functor of the title is defined by \(\Delta_{\lambda}(V)={\mathcal D}_{\lambda}\otimes_{{\mathcal U}_{\lambda}}V\), where \(\lambda\) is an element of the dual of a fixed Cartan subalgebra of a complex semisimple Lie algebra \({\mathfrak g}\), \({\mathcal U}_{\lambda}\) the quotient of the enveloping algebra of \({\mathfrak g}\) by the
Hecht, Henryk, Miličić, Dragan
openaire   +1 more source

On algebraic characterizations for finiteness of the dimension of EG [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2008
Certain algebraic invariants of the integral group ring ZG of a group G were introduced and investigated in relation to the problem of extending the Farrell-Tate cohomology, which is defined for the class of groups of finite virtual cohomological ...
Olympia Talelli
doaj   +1 more source

Constant primary operators and where to find them: the strange case of BPS defects in ABJ(M) theory

Journal of High Energy Physics, 2023
We investigate the one-dimensional defect SCFT defined on the 1/2 BPS Wilson line/loop in ABJ(M) theory. We show that the supermatrix structure of the defect imposes a covariant supermatrix representation of the supercharges.
Nicola Gorini, Luca Griguolo, Luigi Guerrini, Silvia Penati, Domenico Seminara, Paolo Soresina   +5 more
doaj   +1 more source

ON THE COMINIMAXNESS OF LOCAL COHOMOLOGY MODULES [PDF]

Journal of Algebraic Systems
Let I be an ideal of a commutative Noetherian ring R. It is shown that the R-modules Hi I (M) are I-cominimax, for all finitely generated R-modules M and all i ∈ N0, if the R-modules Hi I (R) are I-cofinite with dimension not exceeding 1, for all ...
Ghader Ghasemi, Jafar Azami
doaj   +1 more source

Cohomological dimension of locally connected compacta [PDF]

, 2001
In this paper we investigate the cohomological dimension of cohomologically locally connected compacta with respect to principal ideal domains. We show the cohomological dimension version of the Borsuk–Siecklucki theorem: for every uncountable family {Kα}
Koyama, Akira, Dydak, Jerzy
core   +1 more source

Cohomological dimension of Mackey functors for infinite groups [PDF]

, 2006
We consider the cohomology of Mackey functors for infinite groups and define the Mackey-cohomological dimension of a group G. We relate this dimension to other cohomological dimensions such as the Bredon cohomological dimension and the relative ...
Nucinkis, Brita E.A., Nucinkis, Brita, Martinez-Perez, Conchita   +2 more
core   +1 more source