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Factorial analogue of the local quasi-duo domain (in Ukrainian) |
| Author |
I. S. Vasyunyk, B. V. Zabavsky
Lviv National University
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| Abstract |
Its shown that if the R—quasi-duo the right Bezout domain, with the unique maximally
non-principal N ideal, then N is an ideal of ring. That is to say R is a factorial analogue of
the local ring. |
| Keywords |
ideal of ring; right Bezout domain |
| Reference |
1. Brungs H.H. Rings with a distributive lattice of right ideals// J. Algebra. – 1976. – V.40. – P. 392–400.
2. Забавський Б.В. Некоммутативный аналог теорем Коена// Укр. мат. ж. – 1996. – T.48, №5. –
C. 707–710.
3. Кон П. Свободные кольца и их связи. – М: Мир, 1976.
4. Beauregard R. Left Ore principal right ideal domains// Proc. Amer. Math. Soc. – 1988. – V.102, №3. –
P. 459–462.
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| Pages |
74-77 |
| Volume |
35 |
| Issue |
1 |
| Year |
2011 |
Journal |
Matematychni Studii |
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