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Displaying 61 – 80 of 105

On stable equivalences of module subcategories over a semiperfect noetherian ring

Noritsugu Kameyama, Yuko Kimura, Kenji Nishida (2014)

Colloquium Mathematicae

Given a semiperfect two-sided noetherian ring Λ, we study two subcategories $_{k} (Λ) = M \in m o d Λ | E x t_{Λ}^{j} (T r M, Λ) = 0 (1 \leq j \leq k)$ and $_{k} (Λ) = N \in m o d Λ | E x t_{Λ}^{j} (N, Λ) = 0 (1 \leq j \leq k)$ of the category mod Λ of finitely generated right Λ-modules, where Tr M is Auslander’s transpose of M. In particular, we give another convenient description of the categories $_{k} (Λ)$ and $_{k} (Λ)$ , and we study category equivalences and stable equivalences between them. Several results proved in [J. Algebra 301 (2006), 748-780] are extended to the case when Λ is a two-sided noetherian semiperfect ring.

On stable K-theory and topological Hochschild homology.

Stanislaw Betley (1992)

Commentarii mathematici Helvetici

On the Auslander-Reiten valued quiver of right peak rings

Bogumiła Klemp, Daniel Simson (1990)

Fundamenta Mathematicae

On the Burnside ring and stable cohomotopy of a finite group.

Erkki Laitinen (1979)

Mathematica Scandinavica

On the Classification of Hermitian Forms. III. Complete Semilocal Rings.

C.T.C. Wall (1973)

Inventiones mathematicae

On the Classification of Hermitian Forms. IV. Adele Rings.

C.T.C. Wall (1974)

Inventiones mathematicae

On the Classification of Hermitian Forms. V. Global Rings.

C.T.C. Wall (1974)

Inventiones mathematicae

On the classification of Moore algebras and their deformations.

Hamilton, Alastair (2004)

Homology, Homotopy and Applications

On the Connes operator in Hochschild homology.

Ndombol, Bitjong (2005)

AMA. Algebra Montpellier Announcements [electronic only]

On the construction and the realization of wild monoids

Pavel Růžička (2018)

Archivum Mathematicum

We develop elementary methods of computing the monoid $𝒱 (R)$ for a directly-finite regular ring $R$ . We construct a class of directly finite non-cancellative refinement monoids and realize them by regular algebras over an arbitrary field.