Question

Do there exist $m,n \in N$ such that the rings of matrices $M_m(\mathbb{R})$ and $M_n(\mathbb{C})$ are isomorphic?

score 81 · Answer 1 · 2026-04-16 15:31:59

81

Views

Do there exist $m,n \in N$ such that the rings of matrices $M_m(\mathbb{R})$ and $M_n(\mathbb{C})$ are isomorphic?

Published on 16 Apr 2026 - 15:31

score 80 · Answer 2 · 2026-04-16 20:03:04

80

Views

Existence of homomorphism $\phi:\mathbb{Z}[[X]]\to\mathbb{Q}$ such that $\phi(X)=3/4$?

Published on 16 Apr 2026 - 20:03

score 464 · Answer 3 · 2026-04-13 06:12:55

464

Views

About minimal prime ideal

Published on 13 Apr 2026 - 6:12

score 320 · Answer 4 · 2026-04-17 07:04:29

320

Views

Approaches for the study of rings

Published on 17 Apr 2026 - 7:04

score 103 · Answer 5 · 2026-04-11 18:48:23

103

Views

Does it make sense to define a structure that is an inner product space and a K-algebra? And would this be useful in any way?

Published on 11 Apr 2026 - 18:48

score 56 · Answer 6 · 2026-04-15 08:37:58

Is the quotient ring $R/I$ always Dedekind-finite, where $I$ is the two-sided ideal generated by all elements of the form $xy-1$ where $yx=1$?

score 181 · Answer 7 · 2026-04-10 03:06:49

181

Views

Degree formula for multivariable polynomial

Published on 10 Apr 2026 - 3:06

score 41 · Answer 8 · 2026-04-15 19:45:45

41

Views

a matrix condition that involves when a set of polynomials can have GCD as $1$

Published on 15 Apr 2026 - 19:45

score 349 · Answer 9 · 2026-05-10 19:14:41

349

Views

Understanding polynomial interpolation as a special case of Chinese Remainder Theorem

Published on 10 May 2026 - 19:14

score 280 · Answer 10 · 2026-04-09 17:10:31

280

Views

Every ideal of $\mathbb{Z}[x]$ is finitely generated

Published on 09 Apr 2026 - 17:10

score 35 · Answer 11 · 2026-04-15 13:20:53

35

Views

Expressing elements of a matrix over a polynomial ring as polynomials

Published on 15 Apr 2026 - 13:20

score 54 · Answer 12 · 2026-05-13 22:55:23

54

Views

Ring theory convention

Published on 13 May 2026 - 22:55

score 661 · Answer 13 · 2026-04-15 14:32:39

661

Views

Restriction of irreducible representation; index 2 subgroup

Published on 15 Apr 2026 - 14:32

score 125 · Answer 14 · 2026-04-10 19:17:47

125

Views

Jacobson radical $J$ is the largest ideal consisting of quasiregular elements

Published on 10 Apr 2026 - 19:17

score 171 · Answer 15 · 2026-04-14 11:51:29

171

Views

Algebraic number field quotiented by a prime ideal

Published on 14 Apr 2026 - 11:51

List Question

Do there exist $m,n \in N$ such that the rings of matrices $M_m(\mathbb{R})$ and $M_n(\mathbb{C})$ are isomorphic?

Existence of homomorphism $\phi:\mathbb{Z}[[X]]\to\mathbb{Q}$ such that $\phi(X)=3/4$?

About minimal prime ideal

Approaches for the study of rings

Does it make sense to define a structure that is an inner product space and a K-algebra? And would this be useful in any way?

Is the quotient ring $R/I$ always Dedekind-finite, where $I$ is the two-sided ideal generated by all elements of the form $xy-1$ where $yx=1$?

Degree formula for multivariable polynomial

a matrix condition that involves when a set of polynomials can have GCD as $1$

Understanding polynomial interpolation as a special case of Chinese Remainder Theorem

Every ideal of $\mathbb{Z}[x]$ is finitely generated

Expressing elements of a matrix over a polynomial ring as polynomials

Ring theory convention

Restriction of irreducible representation; index 2 subgroup

Jacobson radical $J$ is the largest ideal consisting of quasiregular elements

Algebraic number field quotiented by a prime ideal

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