Tag: noncommutative-algebra

74 How would you solve this tantalizing Halmos problem? 2010-07-12T18:25:37.340

47 What is the current status of the Kaplansky zero-divisor conjecture for group rings? 2011-10-30T23:24:25.817

47 Invertible matrices over noncommutative rings 2011-11-16T17:20:57.450

35 What makes a theorem *a* "nullstellensatz." 2011-01-21T06:38:46.880

35 How to quantify noncommutativity? 2012-05-11T17:39:14.653

28 How to make the Capelli's identity less mysterious? 2015-01-29T12:01:56.633

27 Simplest examples of rings that are not isomorphic to their opposites 2011-05-09T10:32:48.673

25 A mysterious Heisenberg algebra identity from Sylvester, 1867 2012-07-15T11:12:00.903

24 Idempotents in Rings of Differential Operators 2010-09-08T13:46:35.540

23 When does the converse to Schur's Lemma hold? 2009-10-24T18:28:58.893

22 Definition of an algebra over a noncommutative ring 2010-04-19T21:54:26.327

21 What do you do if you believe a problem is undecidable? 2015-02-06T16:55:19.067

20 Can a quotient ring R/J ever be flat over R? 2009-10-08T22:18:19.433

20 Binomial Expansion for non-commutative setting 2011-10-22T02:36:16.073

18 Noncommutative arithmetic mean geometric mean inequality and symmetric polynomials 2013-04-05T21:04:02.453

17 When should I expect a quiver with potential to be rigid? 2009-10-21T14:37:47.680

17 What are your favorite finite non-commutative rings? 2010-06-07T14:48:31.207

17 What is the precise relationship between groupoid language and noncommutative algebra language? 2010-07-09T21:07:20.433

16 Koszul complex for non-Koszul algebras 2015-11-21T01:00:03.087

15 How much theory works out for "almost commutative" rings? 2009-10-23T20:08:19.560

15 Geometry of numbers for three by three matrices? 2013-07-06T19:08:30.343

14 Examples of noncommutative analogs outside operator algebras? 2009-11-30T07:46:14.187

14 Graded commutativity of cup in Hochschild cohomology 2009-12-12T14:11:42.263

14 What properties "should" spectrum of noncommutative ring have? 2010-02-15T11:46:55.467

14 A Non-Commutative Nullstellensatz 2010-05-18T21:46:45.927

14 Why does the Grothendieck group $K_0(R)$ of a ring not depend on our choice of using left modules instead of right modules? 2010-11-19T06:51:12.520

14 Is the ring of quaternionic polynomials factorial? 2012-02-21T10:44:05.207

14 What's the name for the analogue of divided power algebras for x^i/i? 2012-06-22T03:39:14.497

14 Is "being a full ring of quotients" a Morita invariant property? 2013-03-18T13:24:27.460

14 Why is "naive" definition of non-commutative spectrum bad? 2014-03-05T22:33:00.767

13 Gelfand-Naimark from the category-theoretic point of view 2009-11-10T12:35:11.407

13 Left and right eigenvalues 2010-07-17T17:13:43.583

13 Classification of long exact sequences 2012-08-16T12:05:52.467

13 Applications of Govorov-Lazard Theorem? 2013-04-16T23:16:48.347

13 Non-commutative Galois theory 2016-03-19T21:12:40.900

12 Ideals in Factors 2009-10-15T15:58:51.210

12 Tensor products and two-sided faithful flatness 2010-03-07T09:55:50.190

12 Maximal ideal that annihilates entire ring 2010-07-18T22:09:42.697

12 Compute Lie algebra cohomology 2010-10-26T13:51:13.343

12 Injective dimension of graded-injective modules 2012-02-25T00:33:43.517

12 Isomorphisms of quantum planes 2012-08-28T14:32:27.833

12 $\mathbb{Z}G$ (left) Noetherian$\Rightarrow$ $l^1(G)$ is a flat $\mathbb{Z}G$-(right) module? 2013-07-20T23:13:17.987

11 when are algebras quiver algebras ? 2010-05-19T11:06:55.877

11 Nullstellensatz for quaternionic plane curves? 2012-08-18T20:39:34.960

11 Motivation for the Preprojective Algebra 2014-04-18T09:23:00.763

11 Are all separable algebras Frobenius algebras? 2015-08-25T14:46:21.360

11 Determinants of octonionic hermitian matrices 2016-05-28T09:38:07.487

11 Why should the tensor product of $\mathcal{D}_X$-modules over $\mathcal{O}_X$ be a $\mathcal{D}_X$-module? 2016-12-20T21:14:52.253

11 Hopf-Galois extensions where the "extension" is a module? 2018-01-09T08:23:18.147

10 Is my definition of a context algebra new? 2010-01-29T21:52:37.117

10 construct scheme from quivers? 2010-05-14T20:45:17.863

10 Noncommutative Localization of a Ring : Complete Construction 2012-05-21T13:01:14.277

10 Does there exist a Noetherian ring of finite injective dimension but higher Krull dimension? 2013-04-12T15:51:10.927

10 NCG with all noncommutativity in a nilpotent ideal 2015-04-01T04:51:35.237

10 Finitely generated skew-fields 2017-07-31T13:10:32.533

10 Applications of cluster algebras 2017-08-13T06:51:38.463

9 Morita equivalence and moduli problems 2009-11-22T02:04:15.393

9 Existence of non-commutative desingularizations 2010-02-06T02:34:11.240

9 Division algebras in which every proper subfield is maximal 2010-06-21T05:23:33.420

9 Mathematical software for computing in integral group rings of discrete groups? 2010-08-02T20:49:58.517

9 Are there any finitely generated artinian modules that are not Noetherian? 2011-04-14T13:07:37.747

9 Strongly Noetherian property. When is the tensor $A\otimes_{k}B$ Noetherian for Noetherian rings $A$ and $B$? 2012-09-26T17:10:04.003

9 Point modules of quantum projective space $\mathbb{P}^n$ 2012-10-11T01:42:57.340

9 Explicit isomorphism for quaternion algebras over $\mathbb{Q}$? 2014-03-10T19:03:45.040

9 Deformations of Ext rings 2015-06-24T23:50:08.493

8 Maximal localizations of von Neumann algebras 2009-10-22T20:30:14.980

8 Do torsion-free groups give projectionless group ($C^\ast$) algebras? 2009-10-30T20:07:07.000

8 Semisimple-ish rings! 2010-06-28T02:42:32.400

8 Jacobson radical = intersection of all maximal two-sided ideals 2010-12-25T18:09:07.093

8 Global dimensions of non-commutative rings 2012-08-01T02:33:00.667

8 Are annihilation modules in the quantum torus necessarily principal? 2012-11-27T05:05:58.987

8 For $G=\mathbb{Z}^2\rtimes \mathbb{Z}$, $Spec(\mathbb{Z}G)$=? 2013-08-29T14:52:58.630

8 Hochschild homology of upper triangular matrix algebra? 2014-03-07T18:28:17.207

8 Does this kind of non-noetherian bimodule exist? 2014-05-28T19:44:55.213

8 nth term in the Baker-Campbell-Hausdorff formula 2014-07-22T01:52:05.270

7 Is there a good computer package for working with complexes over non-commutative rings? 2009-10-05T14:47:37.010

7 Proof a Weyl Algebra isn't isomorphic to a matrix ring over a division ring 2009-11-08T04:20:37.097

7 Linear disjointness of subfields of a centrally finite division algbera 2010-03-19T10:06:51.160

7 Making an algebra the uniqe maximal one-sided ideal in another unital algebra 2012-04-26T18:40:18.143

7 Explicit description of a quaternion algebra with a prescribed set of ramified places 2012-07-06T13:24:40.763

7 Structure theorem for finite dimensional $C^*$-algebras and their representations 2013-07-24T19:13:53.000

7 How big can a commutative subalgebra of Weyl algebra be? 2013-08-19T22:16:51.583

7 Must a finitely generated projective module over a group ring with vanishing coinvariants be trivial? 2015-07-23T08:12:19.733

7 non commutative polynomial which is zero for all matrix evaluation 2015-11-26T21:27:49.560

7 Quantum Grassmannians? 2016-03-17T18:58:32.233

7 Is the discriminant of a free (as a module) $R$-algebra always congruent to a square modulo 4? 2016-12-23T06:37:32.837

6 What is an example of a ring in which the intersection of all maximal two-sided ideals is not equal to the Jacobson radical? 2009-10-16T18:19:46.887

6 Hochschild/Cyclic Homology of von Neumann Algebras: Useless? 2009-10-16T19:28:36.790

6 Inverses in convolution algebras 2009-11-18T23:32:49.900

6 Eigenvalues of an element in a Weyl algebra 2010-01-29T17:36:03.933

6 Simultaneously orthogonally transform two SPD matrices to tridiagonal form? 2010-08-24T09:50:46.327

6 Does there exist any massive proper $C^*$-subalgebra? 2010-10-15T13:14:40.580

6 A potential resolution of $R/r$ 2011-06-13T21:44:38.213

6 Simple Ore extensions 2011-06-19T20:35:23.917

6 G = [G,G] with two generators 2011-09-27T07:42:35.963

6 Are epimorphisms from a division ring isomorphisms ? 2013-02-06T00:07:05.253

6 Properties of ring epimorphisms that are true only over commutative rings 2013-03-13T23:03:54.357

6 Units in a group algebra 2013-09-22T20:10:50.927

6 How to prove that a projective module is not free? 2015-04-23T14:01:31.163