Results 1 to 10 of about 10,279 (105)

Endomorphism algebras of modules with distinguished partially ordered submodules over commutative rings

Journal of Pure and Applied Algebra, 1991
Let \(R\) be a commutative ring with identity and let \(\mathbf I = (I,\leq)\) be a partially ordered set. An \(R_ I\)-module (or \(R\)-representation of \(\mathbf I\)) is a sequence \(\mathbf M = (M, M^ i, i\in I)\) consisting of an \(R\)-module \(M\) and distinguished submodules \(M^ i\) such that \(M^ i\subseteq M^ j\) for all \(i\leq j\in I\).
Böttinger, Claudia, Göbel, Rüdiger
openaire   +1 more source

Universal deformation rings of modules for algebras of dihedral type of polynomial growth [PDF]

, 2012
Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowro\'{n}ski.
FM Bleher, FM Bleher, FM Bleher, FM Bleher, Frauke M. Bleher, H Krause, K Erdmann, K Erdmann, M Auslander, MCR Butler, R Brauer, S Talbott, Shannon N. Talbott   +12 more
core   +1 more source

Smashing localizations of rings of weak global dimension at most one [PDF]

, 2016
none2siWe show for a ring R of weak global dimension at most one that there is a bijection between the smashing subcategories of its derived category and the equivalence classes of homological epimorphisms starting in R. If, moreover, R is commutative,

core   +1 more source

Orbifolds of symplectic fermion algebras [PDF]

, 2015
We present a systematic study of the orbifolds of the rank $n$ symplectic fermion algebra $\mathcal{A}(n)$, which has full automorphism group $Sp(2n)$. First, we show that $\mathcal{A}(n)^{Sp(2n)}$ and $\mathcal{A}(n)^{GL(n)}$ are $\mathcal{W}$-algebras ...
Andrew, R. Linshaw, Thomas Creutzig
core   +1 more source

The structure of the Kac-Wang-Yan algebra [PDF]

, 2015
The Lie algebra $\mathcal{D}$ of regular differential operators on the circle has a universal central extension $\hat{\mathcal{D}}$. The invariant subalgebra $\hat{\mathcal{D}}^+$ under an involution preserving the principal gradation was introduced by ...
A. Cappelli, A. Linshaw, A. Linshaw, A. Sergeev, A. Sergeev, Andrew R. Linshaw, B. Lian, B. Lian, C. Dong, D. Ben-Zvi, D. Friedan, D. Hilbert, D. Hilbert, E. Frenkel, H. Awata, H. Li, H. Li, H. Weyl, I. Frenkel, I. Frenkel, J. Boer de, M. Adler, P. Bouwknegt, R. Blumenhagen, R. Borcherds, V. Kac, V. Kac, V. Kac, V. Kac, W. Eholzer, W. Wang, W. Wang, Y. Zhu   +32 more
core   +1 more source

Cotilting modules and homological ring epimorphisms [PDF]

, 2015
none1noWe show that every injective homological ring epimorphism f:R--> S where S_R has flat dimension at most one gives rise to a 1-cotilting R-module and we give sufficient conditions under which the converse holds true. Specializing to the case of a
Silvana Bazzoni
core   +2 more sources

Factorizations of Elements in Noncommutative Rings: A Survey [PDF]

, 2016
We survey results on factorizations of non zero-divisors into atoms (irreducible elements) in noncommutative rings. The point of view in this survey is motivated by the commutative theory of non-unique factorizations.
A Geroldinger, A Leroy, A Loewy, AW Chatters, AW Chatters, D Bachman, D Haile, D Lissner, D Smertnig, DA Jordan, DR Estes, DR Estes, DR Estes, DR Estes, E Hallouin, E Jespers, E Jespers, E Landau, G Grätzer, G Hegedüs, G Hegedüs, GQ Abbasi, H Cohn, H Fitting, H Marubayashi, H-H Brungs, I Gelfand, J Bergen, J Delenclos, J Towber, JH Conway, KR Goodearl, L Bruyn Le, M Chamarie, M-F Vignéras, MP Gilchrist, NR Baeth, NR Baeth, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, PM Cohn, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, RA Beauregard, TY Lam, V Retakh   +56 more
core   +1 more source

Algebras of p-adic distributions and admissible representations

, 2002
Let G be a compact, locally L-analytic group, where L is a finite extension of Qp. Let K be a discretely valued extension field of L. We study the algebra D(G,K) of K-valued locally analytic distributions on G, and apply our results to the locally ...
Schneider, Peter, Teitelbaum, Jeremy
core   +2 more sources

Cosets of affine vertex algebras inside larger structures

, 2018
Given a finite-dimensional reductive Lie algebra $\mathfrak{g}$ equipped with a nondegenerate, invariant, symmetric bilinear form $B$, let $V^k(\mathfrak{g},B)$ denote the universal affine vertex algebra associated to $\mathfrak{g}$ and $B$ at level $k$.
Creutzig, Thomas, Linshaw, Andrew R.
core   +1 more source

On the notion of 'retractable modules' in the context of algebras [PDF]

, 2014
This is a survey on the usage of the module theoretic notion of a "retractable module" in the study of algebras with actions. We explain how classical results can be interpreted using module theory and end the paper with some open questions.Comment ...
Lomp, Christian
core   +1 more source