Extensions R[α − a] ∩ R[(α − a)− 1] with an Anti-integral Element α Are Unchanged for Any a ∈ R
✍ Scribed by Junro Sato; Susumu Oda; Ken-ichi Yoshida
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 64 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
Let R be an integral domain and ␣ an anti-integral element of degree d over R. w x w Ž . y1 x w x w y1 x It is shown that the equality R ␣ y a l R ␣ y a s R ␣ l R ␣ holds for any a g R with ␣ y a / 0.
📜 SIMILAR VOLUMES
In this paper we investigate the global asymptotic stability of the recursive , n s 0, 1, . . . , where ␣, , ␥ G 0. We show that the unique positive equilibrium point of the equation is a global attractor with a basin that depends on the conditions posed on the coefficients.
The ␣-times integrated semigroups, ␣ ) 0, are introduced and analyzed. It is shown that suitable differential operators generate ␣-times integrated semigroups Ž . for ␣ g 1r2, 1 .
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