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Two criteria for locally noetherian Grothendieck categories

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (3)

We give two criteria for a Grothendieck category to be locally noetherian. The first of these is in terms of direct sum decompositions into uniform co......

Monadic forgetful functors and (non-)presentability for C*- and W*-algebras

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (3)

We prove that the forgetful functors from the categories of C*- and W*-algebras to Banach *-algebras, Banach algebras or Banach spaces are all monadic......

Perfect models for finite Coxeter groups

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (5)

A model for a finite group is a set of linear characters of subgroups that can be induced to obtain every irreducible character exactly once. A perfec......

Algebraic logoi

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (6)

We introduce normal cores, as well as the more general action cores, in the context of a semi-abelian category, and further generalise those to split ......

Groups with small multiplicities of fields of values of irreducible characters

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (7)

In this work, we classify all finite groups such that for every field extension F of Q, F is the field of values of at most 3 irreducible characters.(......

Foliations on smooth algebraic surfaces in positive characteristic

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (9)

We investigate the notion of the p-divisor for foliations on a smooth algebraic surface defined over a field of positive characteristic p and we study......

On the category of quotient Banach spaces after Wegner

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (1)

We study Waelbroeck's category of Banach quotients after Wegner, focusing on its basic homological and functional analytic properties. (C) 2022 The Au......

Brauer and Jones tied monoids

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (1)

We introduce a ramified monoid, attached to each Brauer-type monoid, that is, to the symmetric group, to the Jones and Brauer monoids among others. Ra......

On closed manifolds admitting an Anosov diffeomorphism but no expanding map

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (4)

A few years ago, the first example of a closed manifold admitting an Anosov diffeomorphism but no expanding map was given. Unfortunately, this example......

Twisted group ring isomorphism problem and infinite cohomology groups

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (4)

We continue our investigation of a variation of the group ring isomorphism problem for twisted group algebras. Contrary to previous work, we include c......

Splitting fields of differential symbol algebras

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (5)

For m >= 2, we study derivations on symbol algebras of degree m over fields with characteristic not dividing m. A differential central simple algeb......

Modular quasi-Hopf algebras and groups with one involution

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (5)

In a previous paper the authors constructed a class of quasi-Hopf algebras D omega(G, A) associated to a finite group G, generalizing the twisted quan......

Rational Reidemeister trace of an outer automorphism of finite order

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (7)

Let H be a group of type FP over the rationals and let ck : H-+ H be an automorphism whose class in Out(H) has finite order and such that the Lefschet......

The spectrum of the Burnside Tambara functor of a cyclic group

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (8)

We derive a family of prime ideals of the Burnside Tambara functor for a finite group G. In the case of cyclic groups, this family comprises the entir......

Kazhdan-Lusztig polynomials for (B)over-tilde2

期刊: JOURNAL OF PURE AND APPLIED ALGEBRA, 2023; 227 (9)

In 1979 Kazhdan and Lusztig defined, for an arbitrary Coxeter system (W, S), a family of polynomials indexed by pairs of elements of W. Despite their ......

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