Results 61 to 70 of about 611,831 (181)
Local Cohomology Modules and Relative Cohen-Macaulayness
Let (R, 𝔪) denote a commutative Noetherian local ring and let M be a finite R-module. In this paper, we study relative Cohen-Macaulay rings with respect to a proper ideal 𝔞 of R and give some results on such rings in relation with Artinianness, Non ...
Zohouri M. Mast
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Provenance studies are an increasingly important analog for understanding how trees adapted to particular climatic conditions might respond to climate change. Dendrochronological analysis can illuminate differences among trees from different seed sources
Caroline Leland +8 more
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On Generalized Regular Local Ring
A ring R is called a generalized Von Neumann regular local ring (GVNL-ring) if for any a∈R, either a or (1-a) is π-regular element. In this paper, we give some characterization and properties of generalized regular local rings.
Zubayda M. Ibraheem, Naeema A. Shereef
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Coefficient subrings of certain local rings with prime-power characteristic
If R is a local ring whose radical J(R) is nilpotent and R/J(R) is a commutative field which is algebraic over GF(p), then R has at least one subring S such that S=∪i=1∞Si, where each Si, is isomorphic to a Galois ring and S/J(S) is naturally isomorphic ...
Takao Sumiyama
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A survey of s-unital and locally unital rings
We gather some classical results and examples that show strict inclusion between the families of unital rings, rings with enough idempotents, rings with sets of local units, locally unital rings, s-unital rings and idempotent rings.
Patrik Nystedt
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Multiscale structural analysis of defective graphene in transmission electron microscopy images using persistent homology [PDF]
We developed a persistent-homology-based strategy that converts transmission electron microscopy images of defective graphene into quantitative, multiscale descriptors spanning local carbon-atom polygons and their global connectivity.
Ryuto Eguchi, Ayako Hashimoto
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Strongly clean matrix rings over local rings
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Flat local morphisms of rings with prescribed depth and dimension
For any pairs of integers (n,m) and (d, e) such that 0 ≤ n ≤ m, 0 ≤ d _ e, d ≤ n, e ≤ m and n -d ≤ m - e we construct a local flat ring morphism of noetherian local rings u : A → B such that dim(A) = n; depth(A) = d; dim(B) = m and depth(B) = e.
Ionescu Cristodor
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Characterization of rings with planar, toroidal or projective planar prime ideal sum graphs
Let R be a commutative ring with unity. The prime ideal sum graph [Formula: see text] of the ring R is the simple undirected graph whose vertex set is the set of all nonzero proper ideals of R and two distinct vertices I and J are adjacent if and only if
Praveen Mathil +3 more
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Recently, an interest is developed in estimating genus of the zero-divisor graph of a ring. In this note we investigate genera of graphs of a class of zero-divisor rings (a ring in which every element is a zero divisor).
Nauman Syed Khalid, Shafee Basmah H.
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