There are several families of atomic monoids whose arithmetical invariants have received a
great deal of attention during the last two decades. The factorization theory of finitely …

If $\mathbf {F} _q $ is the finite field of order $ q $ and characteristic $ p $, let $\mathcal {F}(q)
$ be the category whose objects are functors from finite dimensional $\mathbf {F} _q …

Fix a prime $ p $ and a chromatic height $ h $. We prove that the homotopy $(k, 1) $-
category of $ L_h $-local spectra $\mathrm {h} _k\big (\mathrm {Sp} _ {p, h}\big) $ is …

We develop the theory of presentable categories internal to an $\infty $-topos $\mathcal {B}
$. We provide several characterisations of these, including a description in terms of the …

This paper develops the connection between the set of phantom maps from X to Y and the
set of homotopy types W having the same n-type as Z, for all n, where Z= X× ΩY or Y∨ σX …

Abstract Given a field\Bbbk, Noetherian\Bbbk-schemes (resp.,\Bbbk-formal schemes) X, Y,
and dualizing complexes R_X, R_Y over X, Y, we show that R_X\boxtimes _\Bbbk R_Y …

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KRGDlgMbjg mNQHIC Drazin Z {1}- Z Page 1 )44l)2 6 YY Vol.44, No.2 2001 3q ACTA …

This article contains a comprehensive study of+-groupoids,+-functors,+-natural
transformations, and+-bicategories for applications to Br ([italic] R) and Pg ([italic] R). Key …

We prove that the $\infty $-category of $ p $-typical topological Cartier modules, recently
introduced by Antieau--Nikolaus, over some base $ A $ is equivalent to the $\infty $-category …

Let A be a commutative semiprime ring with identity. Then A has at least two epimorphic
regular extensions namely, the universal epimorphic regular extension T (A), and the …