A ring of periods for Sen modules in the imperfect residue field case
Comptes Rendus. Mathématique, 2010 We construct a ring B Sen of Colmez in the imperfect residue field case.
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The Space of Local Fields as a Module over the Ring of Local Integrals of Motion
, 2004 The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the recent construction of form factors by means of quantum affine algebra at root of unity due to Feigin et al. we construct a D-free resolution of the space of local fields. In
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Gröbner Basis Theory for Modules over Polynomial Rings over Fields with Valuation
, 2014 A motivation to study Gröbner theory for fields with valuations comes from tropical geometry, for example, they can be used to compute tropicalization of varieties \citep{maclagan2009introduction}. The computational aspect of this theory was first studied in (Chen \& Maclagan, 2013).
Sen, Aritra, Dukkipati, Ambedkar
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On the module structure of the ring of all integers of a p-adic number field [PDF]
Nagoya Mathematical Journal, 1974 Let k be a p-adic number field and o be the ring of all integers of k. Let K/k be a cyclic ramified extension of prime degree p with Galois group G. Then the ring of all integers of K is o[G]-module. The purpose of this paper is to give a necessary and sufficient condition for o[G]-modale to be indecomposable.
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On the Galois Module Structure of Ideals and Rings of All Integers of p-Adic Number Fields
Journal of Algebra, 1995 For a finite Galois extension \(K/k\) of local number fields with residue field of characteristic \(p\) a complete description of ideals in \(o_K\) as \(o_k [G]\)-modules, \(G= G(K/ k)\), is still unknown when the order of \(G\) is divisible by \(p\).
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A remarkable property of the (co) syzygy modules of the residue field of a nonregular local ring
Journal of Pure and Applied Algebra, 1996 The author proves a characterization of the regular ones among the Noetherian local rings \(R\) by a surprisingly weak homological condition on the syzygy modules in a minimal free resolution of the residue class field \(k\) of \(R\): if there exists a surjective homomorphism from a direct sum of syzygy modules of \(k\) onto a module \(M\neq 0\) of ...
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Estimation of temperature sensor effect on temperature field of ring heating module
Известия Томского политехнического университета: Инжиниринг георесурсов, 2009 The computation experiments on investigation of temperature sensor effect on temperature field of ring heating module of multipoint heat-treatment installation have been carried out. The results of calculation show that the temperature sensors effect considerably the temperature distribution in heating module and its energy consumption.
M. M. Filippov +2 more
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Hypergravity reduces F-actin accumulation in osteoclasts, with attenuated bone resorption. [PDF]
PLoS OneTakahashi N +6 more
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Noncyclic BCH and Srivastava codes over the subgroup of the groups of units of Galois rings [Formula: see text] for advanced error control. [PDF]
Sci RepSajjad M +4 more
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Distinct cellular phenotypes of language and executive decline in amyotrophic lateral sclerosis. [PDF]
CellPetrescu J +15 more
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