Local ring
On Semi π Regular Local Ring
... A ring R is said to be a right (left) semi π -regular local ring if and only if for all a in R , either a or ( 1 − a ) is a right (left) semi π -regular ...-regular local rings, and to study ...
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Finiteness in derived categories of local rings
... A local ring R is said to be regular if its maximal ideal m is generated by a regular sequence. Auslander, Buchsbaum, and Serre proved that R is regular if and only if the residue field k has finite ...
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Salt Tectonism In The Carolina Trough
... The Poincaré series of a local ring is the generating function of the Betti numbers for the residue field. The question of when this series represents a rational function is a classical problem in ...
49
On the discreteness and rationality of F-jumping coefficients
... ⊃ a . A well-known theorem of Chevalley (see Theorem 1 in Chapter 5 of [N]) says that if an ideal J is the intersection of some set S of ideals in a complete local ring, then for every positive integer t ...
11
The inverse deformation problem
... a local ring and let n ≥ 2 be an ...commutative ring B and positive integer m, the image of a group homomorphism ρ : SL n (A) → GL m (B) is in fact a subgroup of SL m ...
16
Hanoi Zariski complete
... Let us recall the notion of finitely supported ideal in a regular local ring which was introduced by Lipman in [17]. Let K be a field. Let the Greek letters α, β, γ, . . . denote regular local rings ...
32
The Community Rating System: Assessing Indicators of Community Participation, A Dasymetric and Sovi Approach
... Thus, for R = CJ x 1 , . . . x n K /(f ), R has finite Cohen-Macaulay representation type if and only if R is isomorphic to the local ring of an ADE hypersurface singularity. This provides an example in ...
47
The edge chromatic number of \(\Gamma_{I}(R)\)
... If R/I is an Artinian local ring which is not a field, then the Jacobson radical of R/I equals Z(R/I). Thus Z(R/I) is a nilpotent ideal and this implies that if R/I is not a field, then Ann(Z(R/I)) 6= {0}. ...
12
Type conditions of stable range for identification of qualitative generalized classes of rings
... classical ring of quotients of a commutative ring is a ring of stable range 1? We introduce the concepts of a ring of (von Neumann) regular range 1, a ring of semihereditary range 1, a ...
9
Ausoni–Bökstedt duality for topological Hochschild homology
... commutative ring spectrum and R −→ k is a map to a field of characteristic p then, provided k is small as an R -module, T HH ( R ; k ) is Gorenstein in the sense of ...regular local ring with residue ...
22
Frobenius test exponents for parameter ideals in generalized Cohen-Macaulay local rings
... by Krull’s Intersection Theorem. Now the proof is complete. Corollary 5.3. Suppose that (R, m) is a formally catenary local ring all of whose for- mal fibres are Cohen–Macaulay. (These hypotheses would be ...
22
Source routing and transparent bridging interconnections and their performances
... ON-RING DETERMINATION PROCESS: In on-ring determination, the source station sends a X[D Exchange Identification command LPDULink Protocol Data Unit on the local ring with the address of [r] ...
103
Numerical Simulation on Collapse of A Super-Large Cooling Tower Caused by Local Failure of Pile Foundation
... the ring footing of the failure zone lost support of the piles, the large vertical load from the upper columns led to the localized shear failure in the two sides of the ring footing of the failure ...the ...
10
Computer modelling of halocarbon sorption in zeolite Y
... The embedded cluster (ONIOM) calculations were performed on clusters with the lowest energy as determined by the atomistic models. These models were split into two regions, as described above. The LOW region was ...
230
Wave-like patterns in an elliptical satellite ring
... Satellite constellations are families of orbits selected to provide useful coverage patterns for telecommunications, Earth observation and navigation services. Such constellations are often assembled from families of ...
18
Cohen-Macaulay modules over the plane curve singularity of type \(T_{36}\)
... explicit description of a wide class of maximal Cohen–Macaulay modules over the ring R called modules of the first level. Note that T 36 is one of the critical singularities of tame Cohen-Macaulay representation ...
11
On the Lie ring of derivations of a semiprime ring
... Throughout the text R stands for an associative ring (possibly without identity) and n for a positive integer. By Z(R) we denote the center of R. The ring R is called semiprime, if it has no nonzero ...
6
Reactive Fuzzy Logic Controller Simulation for Robot Motion Planning
... a local trajectory which guides the robot toward the way-point while avoiding collisions with ...A ring of short-range sensors is used to implement a reactive navigation algorithm wherein local ...
7
Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions, notes on the work of Shinichi Mochizuki
... distinct ring/scheme theories, two theatres (see footnote 38) in the domain and codomain of the theta-link, with their multiplicative structures related via nonarchimedean theta values (monoids that appear in the ...
28
The Largest Left Quotient Ring of a Ring
... Properties of the maximal left quotient rings of a ring. The next theorem describes various properties of the maximal left quotient rings of a ring. In particular, their groups of units and their largest ...
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