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"In Mathematical Language": On Mathematical Foundations of Quantum Foundations. [PDF]
Entropy (Basel)Plotnitsky A.
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Transcendental Brauer-Manin obstructions on singular K3 surfaces. [PDF]
Res Number TheoryAlaa Tawfik M, Newton R.
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Arithmetic fundamental lemma for the spherical Hecke algebra. [PDF]
Manuscr MathLi C, Rapoport M, Zhang W.
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Khovanov Laplacian and Khovanov Dirac for knots and links. [PDF]
J Phys ComplexJones B, Wei GW.
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Stability of Homomorphisms, Coverings and Cocycles I: Equivalence
Chapman M, Lubotzky A.
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Cohomological Dimension of Generalized Local Cohomology Modules
Algebra Colloquium, 2008The study of the cohomological dimension of algebraic varieties has produced some interesting results and problems in local algebra. Let 𝔞 be an ideal of a commutative Noetherian ring R. For finitely generated R-modules M and N, the concept of cohomological dimension cd 𝔞(M, N) of M and N with respect to 𝔞 is introduced.
Amjadi, Jafar, Naghipour, Reza
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Algebra Colloquium, 2007
For a finitely generated module M over a commutative Noetherian local ring (R,𝔪), it is shown that there exist only a finite number of non-isomorphic top local cohomology modules [Formula: see text] for all ideals 𝔞 of R. It is also shown that for a given integer r ≥ 0, if [Formula: see text] is zero for all 𝔭 in Supp (M), then [Formula: see text] for
Dibaei, Mohammad T., Yassemi, Siamak
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For a finitely generated module M over a commutative Noetherian local ring (R,𝔪), it is shown that there exist only a finite number of non-isomorphic top local cohomology modules [Formula: see text] for all ideals 𝔞 of R. It is also shown that for a given integer r ≥ 0, if [Formula: see text] is zero for all 𝔭 in Supp (M), then [Formula: see text] for
Dibaei, Mohammad T., Yassemi, Siamak
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de Rham cohomology of local cohomology modules II
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2018Let $K$ be an algebraically closed field of characteristic zero, $R = K[x_1, \dots, x_n]$, $I$ be an ideal in $R$ and $A_n(K) = K \langle x_1, \dots, x_n, \partial_1, \dots, \partial_n\rangle$ be the $n$th Weyl algebra over $K$. For a given holonomic left $A_n(K)$-module $N$, let $\partial=\partial_1, \dots, \partial_n$ be pairwise commuting $K$-linear
Puthenpurakal, Tony J. +1 more
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Algebra Colloquium, 2008
A certain set of associated primes of the Matlis duality of any top local cohomology module of a complete filter local ring is characterized. Also, it is proved that the set of associated primes of a finitely generated module over a four-dimensional local ring is finite.
Mafi, Amir, Zakeri, Hossein
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A certain set of associated primes of the Matlis duality of any top local cohomology module of a complete filter local ring is characterized. Also, it is proved that the set of associated primes of a finitely generated module over a four-dimensional local ring is finite.
Mafi, Amir, Zakeri, Hossein
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