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Displaying 121 – 140 of 677

Compact corigid objects in triangulated categories and co-t-structures

David Pauksztello (2008)

Open Mathematics

In the work of Hoshino, Kato and Miyachi, [11], the authors look at t-structures induced by a compact object, $C$ , of a triangulated category, $𝒯$ , which is rigid in the sense of Iyama and Yoshino, [12]. Hoshino, Kato and Miyachi show that such an object yields a non-degenerate t-structure on $𝒯$ whose heart is equivalent to Mod(End( $C$ )op). Rigid objects in a triangulated category can the thought of as behaving like chain differential graded algebras (DGAs). Analogously, looking at objects which behave...

Completions of Regular Rings.

K.R. Goodearl (1976)

Mathematische Annalen

Complexes de Koszul quantiques

Marc Wambst (1993)

Annales de l'institut Fourier

Nous construisons des généralisations des complexes de Koszul, associées à des symétries vérifiant l’équation de Yang-Baxter. Certains de ces complexes sont acycliques et permettent de calculer l’homologie de Hochschild et cyclique de déformations quantiques d’algèbres symétriques et extérieures. Nous donnons des résultats précis pour l’espace affine quantique multiparamétré. Il est également possible de définir des complexes de Koszul pour des algèbres enveloppantes et de Sridharan d’algèbres de...

Complexity and periodicity

Petter Andreas Bergh (2006)

Colloquium Mathematicae

Let M be a finitely generated module over an Artin algebra. By considering the lengths of the modules in the minimal projective resolution of M, we obtain the Betti sequence of M. This sequence must be bounded if M is eventually periodic, but the converse fails to hold in general. We give conditions under which it holds, using techniques from Hochschild cohomology. We also provide a result which under certain conditions guarantees the existence of periodic modules. Finally, we study the case when...

Composition of preradicals

Ladislav Bican, Pavel Jambor, Tomáš Kepka, Petr Němec (1974)

Commentationes Mathematicae Universitatis Carolinae

Computation of the mapping of factorization by the radical for $K_{0}^{+}$ of the endomorphism ring.

Lebedinskii, D.M. (1999)

Zapiski Nauchnykh Seminarov POMI

Congruence lattices of free lattices in non-distributive varieties

Miroslav Ploščica, Jiří Tůma, Friedrich Wehrung (1998)

Colloquium Mathematicae

Construction géométrique des idempotents eulériens. Filtration des groupes de polytopes et des groupes d'homologie de Hochschild

F. Patras (1991)

Bulletin de la Société Mathématique de France

Construction of Auslander-Gorenstein local rings as Frobenius extensions

Mitsuo Hoshino, Noritsugu Kameyama, Hirotaka Koga (2015)

Colloquium Mathematicae

Starting from an arbitrary ring R we provide a systematic construction of ℤ/nℤ-graded rings A which are Frobenius extensions of R, and show that under mild assumptions, A is an Auslander-Gorenstein local ring if and only if so is R.

Constructions and homological properties of simple von Neumann regular rings

Jan Trlifaj (1990)

Czechoslovak Mathematical Journal

(Co)omologia delle Dialgebre

Alessandra Frabetti (1998)

Bollettino dell'Unione Matematica Italiana

Corps gauches dont le groupe des commutateurs n'est pas égal au noyau de la norme réduite

Peter Draxl (1975/1976)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Correction to: Homological Dimension and Stationary Sets. Math. Z. 180, 1-9 (1982).

Paul C. Eklof (1983)

Mathematische Zeitschrift

Correction to: Maximal orders of global dimension and Krull dimension two.

M. Artin (1987)

Inventiones mathematicae

Correction to "The universal skew field of fractions of a tensor product of free rings" (Colloq. Math. 72 (1997), 1-8)

P. Cohn (1998)

Colloquium Mathematicae

Cotorsion pairs in comma categories

Yuan Yuan, Jian He, Dejun Wu (2024)

Czechoslovak Mathematical Journal

Let $𝒜$ and $ℬ$ be abelian categories with enough projective and injective objects, and $T : 𝒜 \to ℬ$ a left exact additive functor. Then one has a comma category $(ℬ ↓ T)$ . It is shown that if $T : 𝒜 \to ℬ$ is $𝒳$ -exact, then $(^{⊥} 𝒳, 𝒳)$ is a (hereditary) cotorsion pair in $𝒜$ and $(^{⊥} 𝒴, 𝒴)$ ) is a (hereditary) cotorsion pair in $ℬ$ if and only if $((\binom{^{⊥} 𝒳}{^{⊥} 𝒴})), 〈 𝐡 (𝒳, 𝒴) 〉)$ is a (hereditary) cotorsion pair in $(ℬ ↓ T)$ and $𝒳$ and $𝒴$ are closed under extensions. Furthermore, we characterize when special preenveloping classes in abelian categories $𝒜$ and $ℬ$ can induce special preenveloping classes...

Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one

Adam Skowyrski (2013)

Colloquium Mathematicae

We describe the structure of artin algebras for which all cycles of indecomposable modules are finite and almost all indecomposable modules have projective or injective dimension at most one.

Cyclic cohomology of certain nuclear Fréchet algebras and DF algebras

Zinaida Lykova (2008)

Open Mathematics

We give explicit formulae for the continuous Hochschild and cyclic homology and cohomology of certain $\hat{\otimes}$ -algebras. We use well-developed homological techniques together with some niceties of the theory of locally convex spaces to generalize the results known in the case of Banach algebras and their inverse limits to wider classes of topological algebras. To this end we show that, for a continuous morphism ϕ: x → y of complexes of complete nuclear DF-spaces, the isomorphism of cohomology groups H...

Cyclic cohomology of (extended) Hopf algebras

M. Khalkhali, B. Rangipour (2003)

Banach Center Publications

We review recent progress in the study of cyclic cohomology of Hopf algebras, extended Hopf algebras, invariant cyclic homology, and Hopf-cyclic homology with coefficients, starting with the pioneering work of Connes-Moscovici.

Cyclic homology, a survey

Jean-Louis Loday (1986)

Banach Center Publications

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