184 research outputs found
Good Reduction of Good Filtrations at Places
We consider filtered or graded algebras over a field . Assume that
there is a discrete valuation of with its maximal ideal and
its residue field. Let be -order such that
and the
-reduction of at the place . Using the filtration
of induced by we shall prove that for certain algebras their
properties are related to .Comment: 17 page
Twisted algebras and Rota-Baxter type operators
We define the concept of weak pseudotwistor for an algebra in a
monoidal category , as a morphism in , satisfying some axioms ensuring that is also an algebra in . This concept generalizes the
previous proposal called pseudotwistor and covers a number of exemples of
twisted algebras that cannot be covered by pseudotwistors, mainly examples
provided by Rota-Baxter operators and some of their relatives (such as Leroux's
TD-operators and Reynolds operators). By using weak pseudotwistors, we
introduce an equivalence relation (called "twist equivalence") for algebras in
a given monoidal category.Comment: 15 pages; continues arXiv:math/0605086 and arXiv:0801.2055, some
concepts from these papers are recalled; we added a Note and some references.
In this final version, accepted for publication in J. Algebra Appl., the
title has been slighty modified and few little things have been adde
Some bialgebroids constructed by Kadison and Connes-Moscovici are isomorphic
We prove that a certain bialgebroid introduced recently by Kadison is
isomorphic to a bialgebroid introduced earlier by Connes and Moscovici. At the
level of total algebras, the isomorphism is a consequence of the general fact
that an L-R-smash product over a Hopf algebra is isomorphic to a diagonal
crossed product.Comment: 4 page
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