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Let $A$ be a finite-dimensional $k$ -algebra and $K / k$ be a finite separable field extension. We prove that $A$ is derived equivalent to a hereditary algebra if and only if so is $A \otimes_{k} K$ .

Poincaré duality and commutative differential graded algebras

Pascal Lambrechts, Don Stanley (2008)

Annales scientifiques de l'École Normale Supérieure

We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincaré duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincaré duality in the same dimension. This has applications in rational homotopy, giving Poincaré duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.

Präradikale und Endomorphismenringe von Moduln.

Sigurd Elliger (1975)

Aequationes mathematicae

Predicting syzygies over monomial relations algebras.

Birge Zimmermann Huisgen (1991)

Manuscripta mathematica

Preradicals

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

Commentationes Mathematicae Universitatis Carolinae

Preradicals and change of rings

Ladislav Bican, Pavel Jambor, Tomáš Kepka, Petr Němec (1975)

Commentationes Mathematicae Universitatis Carolinae

Products of small modules

Peter Kálnai, Jan Žemlička (2014)

Commentationes Mathematicae Universitatis Carolinae

Module is said to be small if it is not a union of strictly increasing infinite countable chain of submodules. We show that the class of all small modules over self-injective purely infinite ring is closed under direct products whenever there exists no strongly inaccessible cardinal.

Produit tensoriel de matrices, homologie cyclique, homologie des algèbres de Lie

Philippe Gaucher (1994)

Annales de l'institut Fourier

On munit, naturellement, d’un surproduit l’algèbre extérieure de l’homologie cyclique d’une $k$ -algèbre commutative $A$ ( $k$ étant un corps de caractéristique zéro) à l’aide du produit de Loday-Quillen. On munit d’un surproduit l’homologie de l’algèbre de Lie du groupe linéaire général de $A$ à l’aide du produit tensoriel de matrices. On montre que l’isomorphisme d’algèbres de Hopf de Loday-Quillen est compatible avec les surproduits définis ci-dessus. On obtient ainsi une interprétation du produit de Loday-Quillen,...

Currently displaying 441 – 460 of 677

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Displaying 441 – 460 of 677

Orders of Global Dimension Two.

Orthogonally complete alternative rings.

$P$ -clean rings.

$P (r, m)$ near-rings.

Piecewise hereditary algebras under field extensions

Poincaré duality and commutative differential graded algebras

Präradikale und Endomorphismenringe von Moduln.

Predicting syzygies over monomial relations algebras.

Preradicals

Preradicals and change of rings

Products of small modules

Produit tensoriel de matrices, homologie cyclique, homologie des algèbres de Lie

Produit tensoriel et complexe cotangent.

Projective covers and minimal free resolutions.

Projective homomorphisms and extensions of lattices.

Projective representations of quivers.

Puissances divisées des algèbres simpliciales en caractéristiques deux et séries de Poincaré de certains anneaux locaux.

Pure closures

QF-3 rings.

Quasi-Hereditary Orders.

Currently displaying 441 – 460 of 677