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Semiperfect ipri-rings and right Bézout rings

✍ Scribed by M. A. Dokuchaev; N. M. Gubareni; V. V. Kirichenko


Publisher
Springer
Year
2010
Tongue
English
Weight
227 KB
Volume
62
Category
Article
ISSN
0041-5995

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Bezout modules and rings
✍ A. A. Tuganbaev 📂 Article 📅 2009 🏛 Springer US 🌐 English ⚖ 71 KB
Bezout and semihereditary power series r
✍ Dolors Herbera 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 248 KB

If R is a commutative ring then the polynomial ring R[x] is semihereditary if and only if R[x] is a Bezout ring, if and only if R is von Neumann regular. A good characterization of rings such that the polynomial ring is either semihereditary or Bezout is not known in the non-commutative setting. Gou