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1
Homological Mirror Symmetry: New Developments and Perspectives
Let us list few examples of homologically smooth A∞-algebras. Example 8.4 (a)
Algebra of functions on a smooth affine scheme. (b) A = k[x1 ,...,x n]q, which is the
algebra of polynomials in variables xi,1 ≤ i ≤ n subject to the relations x i x j = q
...
Anton Kapustin, Maximilian Kreuzer, Karl-Georg Schlesinger,
2008
A is called (homologically) locally strongly n-connected if for every i > -1 there is a
locally closed analytic subset B of A with dim B < i such that A — Bis (
homologically) locally (n + i + 1 )-connected. REMARKS. (a) We can replace "
locally ...
Peter Orlik American Mathematical Society
3
Commutative Algebra and its Applications: Proceedings of the ...
It is homologically bounded below if Hi .X/ D 0 for i 0. It is homologically bounded
above if Hi .X/ D 0 for i 0. It is homologically bounded if Hi .X/ D 0 for jij 0. It is
homologically degreewise finite if each homology module Hi .X/ is finitely
generated ...
Marco Fontana, Salah-Eddine Kabbaj, Bruce Olberding,
2009
4
Differential Algebraic Topology: From Stratifolds to Exotic ...
On the one hand, exactness of the sequence implies that U ∪ V is Z/2-
homologically 0 → An fn−→ An−1 fn−1−→ ··· f1−→ A0 → 0 be an exact sequence
of finite dimensional K-vector spaces, where K is some field. Then n∑ i=0 (−1)
idim Ai = 0.
5
Combinatorial Commutative Algebra
Proposition 11.27 Every module M is isomorphic to a submodule of a
homologically injective module. If M is finitely generated, then M is isomorphic to
a submodule of a finite direct sum of indecomposable injectives. Proof.
Homogeneous ...
Ezra Miller, Bernd Sturmfels,
2006
6
A Monograph on the Sub - Class Cirripedia, with Figures of ...
5 ', first segment of body, homologically the last or seventh cephalic segment. 2,
second segment of body, homologically the first thoracic segment. s, third
segment of body, homologically the second thoracic segment. *, fourth segment
of body, ...
7
Trends in Representation Theory of Algebras and Related Topics
The algebra A is homologically smooth if A, considered as a bimodule over itself,
belongs to per(/lop <g> A). In other words, A is homologically smooth iff the
bimodule A admits a finite resolution by finitely generated projective bimodules.
8
A Monograph on the Sub-class Cirripedia: The Lepadidae, or, ...
5 ', first segment of body, homologically the last or seventh cephalic segment. 2,
second segment of body, homologically the first thoracic segment. s, third
segment of body, homologically the second thoracic segment. *, fourth segment
of body, ...
9
Mathematics in St. Petersburg
0, W, is a hypersurface having only isolated singularities, which are of the same
type as those of X' and Y and lie at the same points. Then W, is a homologically
standard hypersurface. Remark. Actually, it is sufficient that the singularities of W,
...
A. A. Bolibruch, A. S. Merkur'ev, N. Yu Netsvetaev,
1996
X>,M) -> Hom/j(A^+i,M). Evidently, the kernel z^°mR(X'M), i.e., Ker(Homfl(A,,M) ->
r\omR(XnuM)) is isomorphic to Hom/j(C^Y,M) as wanted. (c): The equivalence of (
i) and (ii) is the fact that the complex Hom^A, M) is homologically trivial if and ...
Lars W. Christensen,
2000
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «HOMOLOGICALLY»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
homologically w wiadomościach.
Tracking the Tricolour
It was a demonstrably egalitarian flag: three equal bands of colour, in a homologically vertical arrangement rather than a hierarchically ... «Irish Times, Kwi 13»
From Social Control to Financial Economics: The Linked Ecologies …
We also show that these transformations were homologically related to changes in the prevailing mode of governance in the American ... «Working Knowledge, Mar 11»