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.

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### Group rings such that every (countable generated) module has a maximal submodule

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### Units in the (stable) center of a Frobenius algebra [duplicate]

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### Relation between left projections

**7**

**1**answer

### Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics

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**1**answer

### Lanczos algorithm for finding $k$ smallest eigenvector

**13**

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### Structures of the space of neural networks

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### The soccer splitting problem in arbitrary commutative ring

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**1**answer

### Book on algebraic structures

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### The statue of a sequence of finite projections

**5**

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### Reference request: A commutative variant of the Exterior Algebra

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### something concerning finite projections

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**2**answers

### Upper triangular $2\times2$-matrices over a Baer *-ring

**2**

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### A generalized Cauchy type functional equation

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### $Ext_A^1(J,J)$ for the Jacobson radical $J$ of an algebra $A$

**10**

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### Unbiased Hopf algebras

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### Derivations of special rings

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### Ideals and Idempotents in a commutative ring

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### Relation between coefficients of expansions

**9**

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### Why should we study derivations of algebras?

**2**

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### generalisations of module maps

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### Conjugacy class representatives for the automorphism group of a finite abelian group

**3**

**1**answer

### Twisted group rings and cohomology

**10**

**1**answer

### Relations between coefficients of expansions of a rational function at 0 and infinity

**1**

**1**answer

### Strongly finite projections in $*$-rings

**3**

**1**answer

### Cancellation property for certain integral group rings

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### Example of tensor category with non-simple unit $J\to \mathbb{1} \to Q$ and suitably extension $Q\to M\to J$

**11**

**2**answers

### Example of a ring with non-finitely generated unit group?

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### Transmission of finite projections

**5**

**1**answer

### Counterexample for the Skolem-Noether Theorem

**7**

**1**answer

### Is being a Frobenius algebra a rare condition for local algebras?

**6**

**1**answer

### Extension-field subgroups of $\operatorname{GL}(n, K)$

**6**

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### Curious anti-commutative ring

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### On the relation of ideals and $\mathcal J$-classes in semigroups

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**1**answer

### Cholesky decomposition – non-positive definite matrix

**4**

**1**answer

### Given a representation-infinite algebra, when is every AR component infinite?

**5**

**1**answer

### Is every (left) graded-Noetherian graded ring (left) Noetherian?

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### Which rings are the endomorphisms ring of some abelian groups?

**2**

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### Extensions of modules of type $FP_n$

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### Where is it shown that a countable self-injective ring is semilocal?

**2**

**1**answer

### Hermitian forms over $K\times K$

**5**

**1**answer

### When is a zero dimensional local ring a chain ring?

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**1**answer

### When does completion preserve injectivity?

**4**

**1**answer

### A generalization of Witt's theorem for quaternion algebra isomorphism

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### Algebraic version of unilateral shift

**4**

**1**answer

### Do all finite-dimensional division algebras appear as Wedderburn factors of rational group rings?

**4**

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### Quaternion algebras in characteristic 2

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### A property similar to arithmetical property

**7**

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### commutative “weakly” Frobenius algebras and 2d TQFT

**11**

**1**answer

### Is there a notion of 'amenable ring'

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**1**answer