Zobrazeno 1 - 10
of 33 937
pro vyhledávání: '"Mathematics::Commutative Algebra"'
Publikováno v:
Journal of Algebra. 629:227-246
We introduce the notion of residual intersections of modules and prove their existence. We show that projective dimension one modules have Cohen-Macaulay residual intersections, namely they satisfy the relevant Artin-Nagata property. We then establis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::430264f523358153a32dd1b7aacee393
https://doi.org/10.1016/j.jalgebra.2023.03.035
https://doi.org/10.1016/j.jalgebra.2023.03.035
Autor:
Rankeya Datta, Kevin Tucker
Publikováno v:
Journal of Algebra. 629:307-357
A splinter is a notion of singularity that has seen numerous recent applications, especially in connection with the direct summand theorem, the mixed characteristic minimal model program, Cohen-Macaulayness of absolute integral closures and cohomolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc6caaf5f119957dd979fa60f1b26ef1
https://doi.org/10.1016/j.jalgebra.2023.03.025
https://doi.org/10.1016/j.jalgebra.2023.03.025
Publikováno v:
Journal of Algebra. 625:28-45
Codimension two Artinian algebras $A$ have the strong and weak Lefschetz properties provided the characteristic is zero or greater than the socle degree. It is open to what extent such results might extend to codimension three AG algebras - the most
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1dd9528f3c2fdc07e280b3189873e989
https://doi.org/10.1016/j.jalgebra.2023.03.005
https://doi.org/10.1016/j.jalgebra.2023.03.005
Publikováno v:
Journal of Number Theory. 247:46-74
Given a positive integer $M$ and a real number $x\in(0,1]$, we call $q\in(1,M+1]$ a univoque simply normal base of $x$ if there exists a unique simply normal sequence $(d_i)\in\{0,1,\ldots,M\}^\mathbb N$ such that $x=\sum_{i=1}^\infty d_i q^{-i}$. Si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04b371bfbfdac9c28d95dfdbaaa3e4e6
https://doi.org/10.1016/j.jnt.2022.12.005
https://doi.org/10.1016/j.jnt.2022.12.005
Autor:
Asano, Tomohiro, Ike, Yuichi
Publikováno v:
Annales de l'Institut Fourier. :1-55
We study rational Lagrangian immersions in a cotangent bundle, based on the microlocal theory of sheaves. We construct a sheaf quantization of a rational Lagrangian immersion and investigate its properties in Tamarkin category. Using the sheaf quanti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea4696145c90c1bf31773ae0c26cdfc1
https://doi.org/10.5802/aif.3554
https://doi.org/10.5802/aif.3554
Autor:
Katada, Mai
Publikováno v:
Annales de l'Institut Fourier. :1-44
We consider an action of the automorphism group $\mathrm{Aut}(F_n)$ of the free group $F_n$ of rank $n$ on the filtered vector space $A_d(n)$ of Jacobi diagrams of degree $d$ on $n$ oriented arcs. This action induces on the associated graded vector s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::56d93bd63c83dcabd6deae448a78e44d
https://doi.org/10.5802/aif.3544
https://doi.org/10.5802/aif.3544
Publikováno v:
Journal of Algebra. 621:1-40
We present and study the concept of $m$-periodic Gorenstein objects relative to a pair $(\mathcal{A,B})$ of classes of objects in an abelian category, as a generalization of $m$-strongly Gorenstein projective modules over associative rings. We prove
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65e6d4b544e4873a9c6651615a5e483f
https://doi.org/10.1016/j.jalgebra.2023.01.011
https://doi.org/10.1016/j.jalgebra.2023.01.011
Publikováno v:
Journal of Algebra. 622:676-693
Let $\mathbb{K}$ be a field and $I$ be a square-free monomial ideal in the polynomial ring $\mathbb{K}[x_1, \ldots, x_n]$. The Green-Lazarsfeld index, $\mathrm{index}(I)$, counts the number of steps to reach to a syzygy minimally generated by a nonli
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b02f7cd367e1816c208db487c121b0a4
https://doi.org/10.1016/j.jalgebra.2023.01.013
https://doi.org/10.1016/j.jalgebra.2023.01.013
Publikováno v:
International Journal of Algebra and Computation. 33:481-498
Given a simple undirected graph $G$ there is a simplicial complex $\mathrm{Ind}(G)$, called the independence complex, whose faces correspond to the independent sets of $G$. This is a well studied concept because it provides a fertile ground for inter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cfc68050ac1625c9bde69a709a31151
https://doi.org/10.1142/s0218196723500236
https://doi.org/10.1142/s0218196723500236
Autor:
Wu, Quanshui, Zhu, Ruipeng
Publikováno v:
Journal of Algebra. 620:478-501
We prove that the Yoneda Ext-algebra of a Takeuchi smash product is the graded Takeuchi smash product of the Yoneda Ext-algebras of the two algebras or modules involved. As an application, we prove that graded Takeuchi smash products preserve Artin-S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fc609e778e6ac62dbffde7ee7f7ce557
https://doi.org/10.1016/j.jalgebra.2022.12.034
https://doi.org/10.1016/j.jalgebra.2022.12.034