Ideal Theory of Commutative Rings and Monoids
This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are...
I tiakina i:
| Kaituhi matua: | |
|---|---|
| Kaituhi rangatōpū: | |
| Ētahi atu kaituhi: | , |
| Hōputu: | Tāhiko īPukapuka |
| Reo: | Ingarihi |
| I whakaputaina: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Putanga: | 1st ed. 2025. |
| Rangatū: | Lecture Notes in Mathematics,
2368 |
| Ngā marau: | |
| Urunga tuihono: | https://doi.org/10.1007/978-3-031-88878-6 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
| Whakarāpopototanga: | This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module systems on arbitrary commutative monoids. Examples of monoids that are investigated include, but are not limited to, Mori monoids, Laskerian monoids, Prüfer monoids and Krull monoids. An in-depth study of various constructions from ring theory is also provided, with an emphasis on polynomial rings, Kronecker function rings and Nagata rings. The target audience is graduate students and researchers in ring and semigroup theory. |
|---|---|
| Whakaahuatanga ōkiko: | 1 online resource (X, 282 p. 1 illus.). |
| ISBN: | 9783031888786 |
| ISSN: | 1617-9692 ; |
| DOI: | 10.1007/978-3-031-88878-6 |