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Chain conditions on composite Hurwitz series rings
- Source :
- Open Mathematics, Vol 15, Iss 1, Pp 1161-1170 (2017), OPEN MATHEMATICS(15)
- Publication Year :
- 2017
- Publisher :
- De Gruyter, 2017.
-
Abstract
- In this paper, we study chain conditions on composite Hurwitz series rings and composite Hurwitz polynomial rings. More precisely, we characterize when composite Hurwitz series rings and composite Hurwitz polynomial rings are Noetherian, S-Noetherian or satisfy the ascending chain condition on principal ideals.
- Subjects :
- Pure mathematics
présimplifiable ring
13a15
13e99
General Mathematics
Mathematics::Number Theory
noetherian ring
Composite number
13f15
Mathematics::Classical Analysis and ODEs
02 engineering and technology
01 natural sciences
Mathematics::Algebraic Geometry
Chain (algebraic topology)
0202 electrical engineering, electronic engineering, information engineering
QA1-939
Ascending chain condition on principal ideals
0101 mathematics
composite hurwitz polynomial ring h(r, d)
Mathematics
Noetherian ring
Series (mathematics)
Mathematics::Commutative Algebra
010102 general mathematics
13e05
020206 networking & telecommunications
composite hurwitz series ring h(r, d)
ascending chain condition on principal ideals
Composite Hurwitz series ring H (R, D)
Composite Hurwitz polynomialring h (R, D)
S-Noetherian ring
Presimplifiable ring
s-noetherian ring
Subjects
Details
- Language :
- English
- ISSN :
- 23915455
- Volume :
- 15
- Issue :
- 1
- Database :
- OpenAIRE
- Journal :
- Open Mathematics
- Accession number :
- edsair.doi.dedup.....a0d6bd6c67a55315597bf3c5a5bc3442