Let K be a field and sets of indetorminates, and f∈ k [[x]] g∈ k [[Y]] two non-zero formal
power series with f∈(x) g∈(Y). Set and suppose that δg is a (y)-primary ideal (eg, if char K …

Let k be an algebraically closed field of characteristic≠ 3 and i, j, t some positive integers
such that 1≤ i< j< t, i+ j≠ t. Then there exist a finite number of nonisomorphic …

Let $(A,\mathfrak {m}) $ be a complete intersection with $ k= A/\mathfrak {m} $ algebraically
closed. Let CMS (A) be the stable category of maximal CM $ A $-modules. For a large class …

We introduce a weak order ideal property that suffices for establishing the Evans–Griffith
Syzygy Theorem. We study this weak order ideal property in settings that allow for …

The main result states: if $ A/B $ is a module finite extension of excellent local normal
domains which is unramified in codimension two and if $ S/\varkappa S\simeq\hat B …

Let K be a field with char K≠ 3 and it two positive integers such that 1≤ i< t/2, t≠ 3i. The
classification problem for maximal Cohen-Macaulay modules over K [[X, Y]]/(Xt+ Y3) is …

Let S be the formal power series ring over a field of characteristic ≠3 in n variables, f≠0 an
element from the maximal ideal of S, R= S/f, R'=SY/(f+Y^3),̃R=RY/(Y^2).¶ There exist an" …

For finite modules over a local ring and complexes with finitely generated homology, we
consider several homological invariants sharing some basic properties with projective …

In [22] we established axiomatic parametrised Cohen-Macaulay approximation which in
particular was applied to pairs consisting of a finite type flat family of Cohen-Macaulay rings …

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چارچوب مورد استفاده برای طرح این حدس‌ها جبرهای متناهی‌بُعد روی یک میدان است. حدس اوسلَندر …‎