Question

For an algebra $A$, show that the bimodule $A \otimes_{A \otimes A^{\text{op}}} A \cong \frac{A}{[A,A]}$.

score 67 · Answer 1 · 2026-03-23 10:07:11

67

Views

For an algebra $A$, show that the bimodule $A \otimes_{A \otimes A^{\text{op}}} A \cong \frac{A}{[A,A]}$.

Published on 23 Mar 2026 - 10:07

score 35 · Answer 2 · 2020-06-07 09:47:06

35

Views

Total number of nonisomorphic uniserial modules for a Nakayama algebra

Published on 07 Jun 2020 - 9:47

score 130 · Answer 3 · 2020-06-16 16:12:47

130

Views

Associative algebras with commutative multiplication?

Published on 16 Jun 2020 - 16:12

score 56 · Answer 4 · 2020-06-16 18:50:19

56

Views

If $U,V$ are left $A$-modules, then is $U \otimes V$ a left $A \otimes A$-module?

Published on 16 Jun 2020 - 18:50

score 79 · Answer 5 · 2020-06-19 19:07:00

79

Views

Need help under standing the definition of the Weyl Algebra, $A_n$.

Published on 19 Jun 2020 - 19:07

score 56 · Answer 6 · 2020-06-20 15:52:44

56

Views

Find an algebraic division algebra that is not finite dimensional

Published on 20 Jun 2020 - 15:52

score 218 · Answer 7 · 2020-06-26 02:51:55

218

Views

If the monoid algebra $R[M]$ is finitely generated, then $M$ is a finitely generated monoid.

Published on 26 Jun 2020 - 2:51

score 141 · Answer 8 · 2020-07-03 22:48:25

141

Views

The duality on projective modules takes minimal presentations to minimal presentations

Published on 03 Jul 2020 - 22:48

score 217 · Answer 9 · 2020-07-04 17:49:20

217

Views

Morphisms of rings that define morphisms of derivations

Published on 04 Jul 2020 - 17:49

score 138 · Answer 10 · 2026-03-25 07:45:08

138

Views

Term for an additive abelian group equipped with a multiplication which is distributive over the addition, but not necessarily associative?

Published on 25 Mar 2026 - 7:45

score 53 · Answer 11 · 2020-07-13 17:30:42

53

Views

If $S$ is a free $R$-algebra, then no element of $S$ is integral over $R$? And other questions.

Published on 13 Jul 2020 - 17:30

score 2.4k · Answer 12 · 2020-07-14 23:31:14

2.4k

Views

Are all finite-dimensional algebras of a fixed dimension over a field isomorphic to one another?

Published on 14 Jul 2020 - 23:31

score 57 · Answer 13 · 2026-03-16 14:36:24

57

Views

$\mathfrak{J}_{ij}^{\;\;.2} \cdot e_i$ is an ideal of $\mathfrak{J}_{ii}$

Published on 16 Mar 2026 - 14:36

score 63 · Answer 14 · 2020-07-25 12:03:06

63

Views

Showing $\lambda: A \otimes C^* \rightarrow \text{Hom}(C,A)$ is a morphism of algebras

Published on 25 Jul 2020 - 12:03

score 99 · Answer 15 · 2020-07-27 15:14:37

99

Views

Well-defined way to quotient by a relation involving an infinite sum

Published on 27 Jul 2020 - 15:14

List Question

For an algebra $A$, show that the bimodule $A \otimes_{A \otimes A^{\text{op}}} A \cong \frac{A}{[A,A]}$.

Total number of nonisomorphic uniserial modules for a Nakayama algebra

Associative algebras with commutative multiplication?

If $U,V$ are left $A$-modules, then is $U \otimes V$ a left $A \otimes A$-module?

Need help under standing the definition of the Weyl Algebra, $A_n$.

Find an algebraic division algebra that is not finite dimensional

If the monoid algebra $R[M]$ is finitely generated, then $M$ is a finitely generated monoid.

The duality on projective modules takes minimal presentations to minimal presentations

Morphisms of rings that define morphisms of derivations

Term for an additive abelian group equipped with a multiplication which is distributive over the addition, but not necessarily associative?

If $S$ is a free $R$-algebra, then no element of $S$ is integral over $R$? And other questions.

Are all finite-dimensional algebras of a fixed dimension over a field isomorphic to one another?

$\mathfrak{J}_{ij}^{\;\;.2} \cdot e_i$ is an ideal of $\mathfrak{J}_{ii}$

Showing $\lambda: A \otimes C^* \rightarrow \text{Hom}(C,A)$ is a morphism of algebras

Well-defined way to quotient by a relation involving an infinite sum

Trending Questions

Popular # Hahtags

Popular Questions