# Questions tagged [ra.rings-and-algebras]

Non-commutative rings and algebras, non-associative algebras, universal algebra and lattice theory, linear algebra, semigroups. For questions specific to commutative algebra (that is, rings that are assumed both associative and commutative), rather use the tag ac.commutative-algebra.

**0**

**0**answers

### Determinant of chain complexes

**7**

**0**answers

### Do compact inverse-property loops (or just compact Moufang loops) have bi-invariant Haar measure?

**1**

**0**answers

### On infinite global dimensions of "slightly non-commutative" rings

**8**

**1**answer

### For every ring R, is there a block-diagonal canonical form for a square matrix over R?

**2**

**1**answer

### Is a certain map a quasi-isomorphism?

**6**

**1**answer

### Rings of finite uniserial type

**3**

**1**answer

### Symbolic powers of a prime ideal of height one

**2**

**1**answer

### Under which conditions: dim(W1 + W2 + W3) = dim(W1) + dim(W2) + dim(W3) − dim(W1 ∩ W2) − dim(W2 ∩ W3) − dim(W3 ∩ W1) + dim(W1 ∩ W2 ∩ W3) [closed]

**0**

**0**answers

### Is it correct to use extensionality axiom in an algebraic theory? Is "extensionality theory" appropriate name for the identity theory plus this axiom?

**4**

**0**answers

### Structure of finitely generated $\mathbb{Z}/p^n\mathbb{Z}[[S,T]]$-modules

**3**

**1**answer

### Auslander-Reiten quiver of quiver algebra kQ where Q is of extended dynkin type D4~

**2**

**1**answer

### Alternativity on $A \otimes B$

**2**

**1**answer

### Is the theory of the adjunction operation, used for algebraization of hereditarily finite set theory, algebraizable?

**4**

**0**answers

### Antipode on the dual multiplier Hopf algebra

**5**

**0**answers

### Matrix decompositions as monoid isomorphisms. Ever considered before?

**3**

**0**answers

### Nonassociative quaternion algebras

**2**

**0**answers

### Semigroup ideals of a ring or an algebra

**2**

**1**answer

### Is the number of values the sign function can take on a ring ("signedness") of any fundamental importance? Can it be predicted?

**1**

**0**answers

### When is a bounded complex of $RG$-modules contractible?

**2**

**0**answers

### Localization of the injective hull of a commutative non-Noetherian ring

**7**

**2**answers

### A ring for which the category of left and right modules are distinct

**0**

**0**answers

### When every principal annihilator is prime

**1**

**0**answers

### Exponential of a sum in a non-commutative graded algebra

**2**

**1**answer

### When the annihilator of each nonzero submodule is prime

**8**

**1**answer

### Covolumes of unit groups of division algebras

**2**

**1**answer

### Can you compute the Krull dimension of a subalgebra using ideals?

**0**

**1**answer

### A nice/simple relationship between the Chevalley generators of $\mathfrak{sp}_n$ and the Chevally generators of $\mathfrak{sl}_n$?

**7**

**1**answer

### This is not a tensor: tensoring abelian groups over groups

**0**

**0**answers

### Coordinate ring of a flag variety

**10**

**1**answer

### Existence of a finite extension of ℤ providing a finite extension of the primes

**2**

**0**answers

### Ideal generated by a regular sequence

**3**

**1**answer

### Is there a classification of the $p$-adic normed division algebras?

**9**

**1**answer

### Is the Magnus Lie algebra of a finitely presented group finitely presented

**6**

**2**answers

### Is there any example of a Lie algebra which is not a derivation algebra?

**3**

**1**answer

### RIng that is flat over a subring as a right module but not as a left module

**4**

**2**answers

### Relation of the first Hochschild cohomology and the outer automorphism group

**3**

**1**answer

### Hochschild cohomology of finite semisimple algebras

**9**

**0**answers

### Near-ring spaces

**8**

**1**answer

### Can you constructively prove a univariate polynomial algebra over a Jacobson ring is itself Jacobson?

**2**

**0**answers

### Subalgebra of a crossed product central division algebra, generated by powers of group elements

**3**

**0**answers

### Automorphisms of the ring of periods

**4**

**1**answer

### Is a non-degenerate finite-dimensional algebra unital?

**-5**

**1**answer

### Can we say that everywhere where it makes sense $\log_0 x=0^x$? Are they equal, the function is self-inverse? If so, what is deep intuition behind it? [closed]

**2**

**1**answer

### Terminology for commutative ring whose Jacobson radical $J$ is nilpotent with semisimple quotient $R/J$

**4**

**0**answers

### A projective module over a domain that is not faithfully flat?

**2**

**0**answers

### Expressing elements in Verlinde ideal in terms of generators

**2**

**2**answers

### Module complements to rings embedded in a projective module

**34**

**15**answers

### Results in linear algebra that depend on the choice of field

**7**

**1**answer

### First isomorphism theorem for sets?

**1**

**0**answers