Zobrazeno 1 - 10
of 11 642
pro vyhledávání: '"Commutative Algebra (math.AC)"'
Autor:
Aida Maraj, Uwe Nagel
Publikováno v:
Journal of Algebra. 631:236-266
Motivated by results on the rationality of equivariant Hilbert series of some hierarchical models in algebraic statistics we introduce the Segre product of formal languages and apply it to establish rationality of equivariant Hilbert series in new ca
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21370f7c3b7bd4085da44540e05dbb1b
https://doi.org/10.1016/j.jalgebra.2023.04.016
https://doi.org/10.1016/j.jalgebra.2023.04.016
Publikováno v:
Journal of Algebra. 631:517-557
\emph{Proto-exact categories}, introduced by Dyckerhoff and Kapranov, are a generalization of Quillen exact categories which provide a framework for defining algebraic K-theory and Hall algebras in a \emph{non-additive} setting. This formalism is wel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7d526fbe4f509544cfd0121918ca625
https://doi.org/10.1016/j.jalgebra.2023.05.008
https://doi.org/10.1016/j.jalgebra.2023.05.008
Autor:
Laura Cossu, Salvatore Tringali
Publikováno v:
Journal of Algebra. 630:128-161
It has been recently observed that fundamental aspects of the classical theory of factorization can be greatly generalized by combining the languages of monoids and preorders. This has led to various theorems on the existence of certain factorization
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c763ec3aa9e89a6f40e4b3af289d3e27
https://doi.org/10.1016/j.jalgebra.2023.04.014
https://doi.org/10.1016/j.jalgebra.2023.04.014
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
Autor:
Sylvain Brochard
Publikováno v:
Journal of Algebra. 628:486-508
Let $M$ be a module over a Noetherian local ring $A$. We study $M$-independent sequences of elements of $\mathfrak{m}_A$ in the sense of Lech and Hanes. The main tool is a new characterization of the $M$-independence of a sequence in terms of the ass
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d1807bc7f7af35eda1a06ac541d3fd6
https://doi.org/10.1016/j.jalgebra.2023.04.001
https://doi.org/10.1016/j.jalgebra.2023.04.001
Publikováno v:
Journal of Algebra. 628:584-612
This paper describes the centers of the universal enveloping algebras and the invariant rings of the standard filiform Lie algebras over fields of characteristic zero and also over large enough prime characteristic. We determine explicit generators f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7991012db03714a63fc3994cf0beb503
https://doi.org/10.1016/j.jalgebra.2023.04.002
https://doi.org/10.1016/j.jalgebra.2023.04.002
Publikováno v:
Journal of Algebra. 626:82-108
In this paper, we consider the homogeneous coordinate rings $A(Y_{n,d}) \cong \mathbb{K}[\Omega_{n,d}]$ of monomial projections $Y_{n,d}$ of Veronese varieties parameterized by subsets $\Omega_{n,d}$ of monomials of degree $d$ in $n+1$ variables wher
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d73d86686e6e61ed87587c4333d2909f
https://doi.org/10.1016/j.jalgebra.2023.03.006
https://doi.org/10.1016/j.jalgebra.2023.03.006
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 Algebra
Journal of Algebra, 2022, 612, pp.691-721. ⟨10.1016/j.jalgebra.2022.08.026⟩
Journal of Algebra, 2022, 612, pp.691-721. ⟨10.1016/j.jalgebra.2022.08.026⟩
International audience; We address the description of the tropicalization of families of rational varieties under parametrizations with prescribed support, via curve valuations. We recover and extend results by Sturmfels, Tevelev and Yu for generic c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7716c6324ecc192055eef68d8ea6d23
https://doi.org/10.1016/j.jalgebra.2022.08.026
https://doi.org/10.1016/j.jalgebra.2022.08.026