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Divided power structure

Known as: Divided polynomial algebra, PD structure, Ring with divided powers 
Let A be a commutative ring with an ideal I. A divided power structure (or PD-structure, after the French puissances divisées) on I is a collection… 
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Symmetric algebra

Papers overview

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2015
2015
Hochschild cohomology of $U(\mathfrak{sl}_2(k))$
Let $k$ be an algebraically closed field of characteristic $p>2$. We determine the Hochschild cohomology of $U(\mathfrak{sl}_2(k… 
2014
2014
SUPER-COMPACT SLED SYSTEM USED IN THE LCLS DIAGNOSTIC SYSTEM*
At SLAC, we have designed and installed an X-band radio-frequency transverse deflector system at the LCLS for measurement of the… 
2013
2013
Basic Theory of Integrated Resource Strategic Planning
With the increasing threat of global climate change and growing calls for environmental protection, power utilities consider both… 
2013
2013
PERFORMANCE OF RF SYSTEM FOR COMPACT ERL INJECTOR IN KEK
The construction of the compact Energy Recovery Linac (cERL) injector in KEK was finished in April 2013, following which the beam… 
2013
2013
Complex of Lascoux in Partition (4,4,4)
In this paper the diagrams and divided power of the place polarization ) (k ij  , with its capelli identities have been used, to… 
2013
2013
On the number of generators of ideals defining Gorenstein Artin algebras with Hilbert function $ (1,n+1, 1+{n+1\choose 2},...,{n+1\choose 2}+1, n+1,1)$
Let $R = k[w, x_1,..., x_n]/I$ be a graded Gorenstein Artin algebra . Then $I = \ann F$ for some $F$ in the divided power algebra… 
2009
2009
Cohomology of Frobenius{Lusztig Kernels of Quantized Enveloping Algebras
Let k be a field of characteristic p 6= 2. Let Φ be a finite, indecomposable root system, G the simple, simply-connected… 
2009
2009
When Does the Rational Torsion Split Off for Finitely Generated Modules
It is well known that the torsion part of any finitely generated module over the formal power series ring K[[X]] is a direct… 
1987
1987
The Constitution as Counterrevolution: A Tribute to the Anti-Federalists
This myth celebrates the Constitution as a triumphant culmination of the American Revolution. After winning their independence… 
1979
1979
A realization of the additive Witt group
. For each prime p we construct in several ways a canonical sequence of divided powers and give an elementary proof that its…