Add to ORKGThe classical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a functorial construction which takes perfect fields k of characteristic p to p-adically complete discrete valuation rings of characteristic 0 with residue field k and are universal in that sense. Dress and Siebeneicher generalized this construction by producing a functor WG attached to any profinite group G. The classical case corresponds to the choice G = Zp. In this thesis we examine the ring structure of some examples of W G(k) where G is a pro- p group and k is a field of characteristic p. We will show that the structure is surprisingly more complicated than the classical case.
Let K be a complete discrete valuation field of characteristic zero with residue field kK of charact...
AbstractIn “New Proofs of the structure theorems for Witt Rings”, the first author shows how the sta...
We give a concrete description of the category of étale algebras over the ring of Witt vectors of a ...
The classical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a fun...
The classical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a fun...
The ring of Witt vectors W R over a base ring R is an important tool in algebraic number theory and ...
AbstractThis paper investigates the connection between the Witt and Witt-Grothendieck rings of a fie...
AbstractThe Witt–Burnside ring of a profinite group G over a commutative ring A generalizes both the...
This thesis is devoted to the study of different aspects of valuation theory. The first chapter fits...
AbstractThe Witt-Burnside ring, as contrived by A. Dress and C. Siebeneicher (Adv. in Math. 70, 1988...
AbstractGiven an arbitrary group G, we construct a covariant functor FˆG from the category of specia...
AbstractFor every profinite group G, we construct two covariant functors ΔG and APG which are equiva...
The Witt ring of a field gives the structure of the isometry classes of quadratic forms over that fi...
In ``New Proofs of the structure theorems for Witt Rings'', Lewis shows how the standard ring-theore...
For every commutative ring A, one has a functorial commutative ring W(A) of p-typical Witt vectors o...
Let K be a complete discrete valuation field of characteristic zero with residue field kK of charact...
AbstractIn “New Proofs of the structure theorems for Witt Rings”, the first author shows how the sta...
We give a concrete description of the category of étale algebras over the ring of Witt vectors of a ...
The classical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a fun...
The classical Witt vectors are a ubiquitous object in algebra and number theory. They arise as a fun...
The ring of Witt vectors W R over a base ring R is an important tool in algebraic number theory and ...
AbstractThis paper investigates the connection between the Witt and Witt-Grothendieck rings of a fie...
AbstractThe Witt–Burnside ring of a profinite group G over a commutative ring A generalizes both the...
This thesis is devoted to the study of different aspects of valuation theory. The first chapter fits...
AbstractThe Witt-Burnside ring, as contrived by A. Dress and C. Siebeneicher (Adv. in Math. 70, 1988...
AbstractGiven an arbitrary group G, we construct a covariant functor FˆG from the category of specia...
AbstractFor every profinite group G, we construct two covariant functors ΔG and APG which are equiva...
The Witt ring of a field gives the structure of the isometry classes of quadratic forms over that fi...
In ``New Proofs of the structure theorems for Witt Rings'', Lewis shows how the standard ring-theore...
For every commutative ring A, one has a functorial commutative ring W(A) of p-typical Witt vectors o...
Let K be a complete discrete valuation field of characteristic zero with residue field kK of charact...
AbstractIn “New Proofs of the structure theorems for Witt Rings”, the first author shows how the sta...
We give a concrete description of the category of étale algebras over the ring of Witt vectors of a ...