Question

Can a finitely generated graded module over commutative unital graded ring be also finitely generated by homogenous elements ?

score 315 · Answer 1 · 2026-03-26 09:40:14

315

Views

Can a finitely generated graded module over commutative unital graded ring be also finitely generated by homogenous elements ?

Published on 26 Mar 2026 - 9:40

score 57 · Answer 2 · 2017-06-21 15:10:25

57

Views

When does commutativity in each homogenous component of a unital graded ring forces commutativity of whole ring?

Published on 21 Jun 2017 - 15:10

score 142 · Answer 3 · 2017-06-21 17:52:22

142

Views

On giving a certain kind of grading to the polynomial ring over a commutative unital graded ring

Published on 21 Jun 2017 - 17:52

score 863 · Answer 4 · 2017-06-22 19:25:13

863

Views

Exterior Algebra Graded Ring Structure?

Published on 22 Jun 2017 - 19:25

score 104 · Answer 5 · 2017-06-23 13:49:42

104

Views

On commutative unital graded rings in which no element in any homogenous part has a zero divisor

Published on 23 Jun 2017 - 13:49

score 80 · Answer 6 · 2017-06-25 16:17:46

80

Views

On commutative unital graded ring in which no non-zero homogenous element has a zero divisor in the homogenous part

Published on 25 Jun 2017 - 16:17

score 51 · Answer 7 · 2017-06-26 14:09:32

51

Views

A kind of a " Three Space Property" for commutative strongly graded rings

Published on 26 Jun 2017 - 14:09

score 110 · Answer 8 · 2017-06-26 17:38:50

110

Views

Regarding length of chains of homogeneous primes

Published on 26 Jun 2017 - 17:38

score 141 · Answer 9 · 2017-06-28 00:28:47

141

Views

Given a proper homogeneous ideal, is there always a homogeneous maximal ideal that contains it?

Published on 28 Jun 2017 - 0:28

score 344 · Answer 10 · 2017-07-13 18:48:32

344

Views

(Reference) Does a ring's grading commute with the formation of fractions?

Published on 13 Jul 2017 - 18:48

score 272 · Answer 11 · 2026-03-26 09:44:48

272

Views

Graded vector space conditions

Published on 26 Mar 2026 - 9:44

score 289 · Answer 12 · 2026-03-26 09:39:56

289

Views

A query about tensor product of graded modules.

Published on 26 Mar 2026 - 9:39

score 41 · Answer 13 · 2017-08-09 15:27:56

41

Views

$a^m$ homogeneous implies $a$ homogeneous?

Published on 09 Aug 2017 - 15:27

score 239 · Answer 14 · 2017-08-14 11:58:32

239

Views

Counting graded dimension of polynomial ring

Published on 14 Aug 2017 - 11:58

score 70 · Answer 15 · 2017-08-19 20:41:09

70

Views

Zariski cone-topology?

Published on 19 Aug 2017 - 20:41

List Question

Can a finitely generated graded module over commutative unital graded ring be also finitely generated by homogenous elements ?

When does commutativity in each homogenous component of a unital graded ring forces commutativity of whole ring?

On giving a certain kind of grading to the polynomial ring over a commutative unital graded ring

Exterior Algebra Graded Ring Structure?

On commutative unital graded rings in which no element in any homogenous part has a zero divisor

On commutative unital graded ring in which no non-zero homogenous element has a zero divisor in the homogenous part

A kind of a " Three Space Property" for commutative strongly graded rings

Regarding length of chains of homogeneous primes

Given a proper homogeneous ideal, is there always a homogeneous maximal ideal that contains it?

(Reference) Does a ring's grading commute with the formation of fractions?

Graded vector space conditions

A query about tensor product of graded modules.

$a^m$ homogeneous implies $a$ homogeneous?

Counting graded dimension of polynomial ring

Zariski cone-topology?

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