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…

Papers overview

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2016

We show that the definition of unrolled Hopf algebras can be naturally extended to the Nichols algebra [Formula: see text] of a…

2014

At SLAC, we have designed and installed an X-band radio-frequency transverse deflector system at the LCLS for measurement of the…

2012

The function of power divider is to divide to power from one input port into the divided power at multiple output ports, or to…

2012

This essay provides a game-theoretic, endogenous view of institutions, and then applies the idea to identify the sources of…

2009

For modular Lie superalgebras, new notions are introduced: Divided power homology and divided power cohomology. For illustration…

2009

It is well known that the torsion part of any finitely generated module over the formal power series ring K[[X]] is a direct…

2007

Natural law assumes that, just as there is a physical reality to the universe, there is also a moral one. Natural law serves as…

2002

Abstract In this paper we extend a well-known theorem of M. Scheunert on skew-symmetric bicharacters of groups to the case of…

1999

The algebra ΛV ⊗ Γ(dV ) is a divided power version of the de Rham algebra; in the particular case when k is a field of…

1998