Centers of Regular Self-Injective Rings
β Scribed by D.V. Tyukavkin
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 273 KB
- Volume
- 172
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A ring R is said to be right P-injective if every homomorphism of a principal right ideal to R is given by left multiplication by an element of R. This is Ε½ . equivalent to saying that lr a s Ra for every a g R, where l and r are the left and right annihilators, respectively. We generalize this to o
It is shown that a right self-injective semiperfect ring \(R\) is quasi-Frobenius if and only if every uniform submodule of any projective right \(R\)-module is contained in a finitely generated submodule. 1994 Academic Press, Inc.
In this paper we continue our investigation of generalized power series. The main theorem determines rings of generalized power series which are Von Neumann regular rings and semisimple rings. In the final section we give a new proof of Neumann's theorem on skewfields of generalized power series wit
a nonzero morphism then there are Z g add T T , f : The set β«ήβ¬ is called T T-induced. 2.3. Throughout the article we shall consider the following linearly Γ 4 ordered sets: β¬ s 1, 2, . . . , 2 i q 1 , i s 0, 1, 2, . . . , with the order F 2 iq1 Ε½ . as in β«,ήβ¬ β¬ s 0, i l β«,ήβ¬ i s 1, 2, 3, . . . ,