Results 61 to 70 of about 769,852 (175)
F‐purity of binomial edge ideals
Abstract In 2012, Matsuda introduced the class of weakly closed graphs and investigated when binomial edge ideals are F‐pure. He proved that weakly closed binomial edge ideals are F‐pure whenever the base field has positive characteristic. He conjectured that: (i) when the base field has characteristic 2, every F‐pure binomial edge ideal comes from a ...
Adam LaClair, Jason McCullough
wiley +1 more source
THE STRUCTURE OF BALANCED BIG COHEN–MACAULAY MODULES OVER COHEN–MACAULAY RINGS [PDF]
AbstractOver a Cohen–Macaulay (CM) local ring, we characterize those modules that can be obtained as a direct limit of finitely generated maximal CM modules. We point out two consequences of this characterization: (1) Every balanced big CM module, in the sense of Hochster, can be written as a direct limit of small CM modules.
openaire +4 more sources
Legal Brokers of Chinese Investment in Cambodia: Compliance Between Contract and Culture
ABSTRACT In conventional understandings of compliance, lawyers and compliance officers internalize compliance within corporations. Complicating this model, this article argues that compliance professionals may occupy a Janus‐faced role between informality and formality.
Matthew S. Erie +2 more
wiley +1 more source
Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley +1 more source
Cohen-Macaulay modules over simple singularities
The thesis is focused on the maximal Cohen-Macaulay modules over simple singular- ities. Previous results on the topic are summarised, and in particular it is shown that a hypersurface is MCM-finite if and only if it is a simple singularity.
Zhang, Yifan
core
Fish predation cues induce drifting and emergence in an experimental stream mesocosm system
Abstract Predator–prey interactions are important drivers of adaptation in aquatic communities, shaping the behavior of invertebrates with cascading effects on community dynamics. Behavioral responses, such as moving with the downstream current (drift) or altering the timing of emergence, are strategies that reduce the risk of predator encounters ...
Anna‐Maria Vermiert +8 more
wiley +1 more source
Gorenstein Injective Dimension and Cohen-Macaulayness
Throughout this paper, (R, m) is a commutative Noetherian local ring with the maximal ideal m. The following conjecture proposed by Bass [1], has been proved by Peskin and Szpiro [2] for almost all rings: (B) If R admits a finitely generated R ...
Reza Sazeedeh, fatemeh Savoji
doaj
Cohen–Macaulay multigraded modules
Let S be a standard N-graded algebra over a local ring A, and let M be a finitely generated Z-graded module over S. We characterize the CohenMacaulayness of M in terms of the vanishing of certain sheaf cohomology modules. As a consequence, we apply our result to study the Cohen-Macaulayness of multiRees modules. Our work extends previous studies on the
Chan, C.-Y. Jean +2 more
openaire +2 more sources
Polarization and Gorenstein liaison
Abstract A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen–Macaulay subscheme of Pn$\mathbb {P}^n$ can be G‐linked to a complete intersection. Migliore and Nagel showed that if such a scheme is generically Gorenstein (e.g., reduced), then, after re‐embedding so that it is viewed as a subscheme of Pn ...
Sara Faridi +3 more
wiley +1 more source
The shift‐homological spectrum and parametrising kernels of rank functions
Abstract For any compactly generated triangulated category, we introduce two topological spaces, the shift spectrum and the shift‐homological spectrum. We use them to parametrise a family of thick subcategories of the compact objects, which we call radical.
Isaac Bird +2 more
wiley +1 more source

