A note on cohomology and algebraic geometric codes on the curves over rings
Let A be a local Artinian ring with residue field k(A). Let X be a curve over A and let be X′ = X ×spec A spec k(A) the fiber of X over k(A). Consider ℒ an invertible sheaf on X and ℒ ′ = ϕ*ℒ ∈ Pic(X′), where ϕ : X′ → X is the natural map.
Nyamda Francis, Mouaha Christophe
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Genetically Defined Subtypes of Somatostatin-Containing Cortical Interneurons. [PDF]
Hostetler RE, Hu H, Agmon A.
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Coweakly Uniserial Modules and Rings Whose (2-Generated) Modules Are Coweakly Uniserial
A module is called weakly uniserial if for any two its submodules at least one of them is embedded in the other. This is a nontrivial generalization of uniserial modules and rings. Here, we introduce and study the dual of this concept.
M. M. Oladghobad, R. Beyranvand
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On Zero-Divisor Graphs of Zn When n Is Square-Free
In this article, some properties of the zero-divisor graph Γ(Zn) are investigated when n is a square-free positive integer. It is shown that the zero-divisor graph Γ(Zn) of ring Zn is a (2k−2)-partite graph when the prime decomposition of n contains k ...
Kholood Alnefaie +3 more
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Differentially trivial and rigid right semi-artinian rings
We obtain a characterization of right semi-artinian rings which have only trivial derivations and prove that a rigid (i.e. has only the trivial ring endomorphisms) right semi-artinian ring R is a field or isomorphic to some Zpn
Artemovych, O.D.
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The cone of Hilbert functions in the non-standard graded case
We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.
Daniel Brinkmann, Marianne Merz
doaj
The diversity of linkage-specific polyubiquitin chains and their role in synaptic plasticity and memory formation. [PDF]
Musaus M, Navabpour S, Jarome TJ.
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On the structure of artinian-by-(finite rank) modules over generalized soluble groups
Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank), if $\mathrm{Tor}_R(A)$ is artinian and $A/\mathrm{Tor}_R(A)$ has finite R-rank.
V.A. Chupordia
doaj
Determining Corresponding Artinian Rings to Zero-Divisor Graphs [PDF]
We introduce Anderson\u27s and Livingston\u27s definition of a zero-divisor graph of a commutative ring. We then redefine their definition to include looped vertices, enabling us to visualize nilpotent elements.
Jones, Abigail Mary
core
Calcium/calmodulin-dependent kinase II and memory destabilization: a new role in memory maintenance. [PDF]
Vigil FA, Giese KP.
europepmc +1 more source

