منابع مشابه
Bézout rings with almost stable range 1 Warren
Elementary divisor domains were defined by Kaplansky [I. Kaplansky, Elementary divisors and modules, Trans. Amer. Math. Soc. 66 (1949) 464–491] and generalized to rings with zero-divisors by Gillman and Henriksen [L. Gillman, M. Henriksen, Some remarks about elementary divisor rings, Trans. Amer. Math. Soc. 82 (1956) 362–365]. In [M.D. Larsen, W.J. Lewis, T.S. Shores, Elementary divisor rings a...
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In a recent paper, the first author introduced a general theory of corner rings in noncommutative rings that generalized the classical theory of Peirce decompositions. This theory is applied here to the study of the stable range of rings upon descent to corner rings. A ring is called quasi-duo if every maximal 1-sided ideal is 2-sided. Various new characterizations are obtained for such rings. ...
متن کاملUnit 1-stable range for ideals
Let R be a ring with identity 1. We say that R satisfies unit 1-stable range in case ax+b = 1 with a,x,b ∈ R implying that a+bu ∈ U(R). Many authors studied unit 1-stable range such as those of [1, 2, 3, 4, 5, 6]. Following the authors, a ring R satisfies unit 1-stable range for an ideal I provided that ax+b = 1 with a∈ I, x,b ∈ R implying that x+ub ∈U(R) for some unit u∈U(R). Let R = Z/2Z⊕Z/3Z...
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In this paper, we propose an -stable 2D extension of the 1D fractional Gaussian noise. The considered model exhibits long-range dependence properties, while its stability index allows us to control the degree of spikyness of the synthesized fields. A least square method for the estimation of the three parameters of this model is also described and its performances are evaluated by a Monte Carlo...
متن کاملExchange Rings Having Stable Range One
We investigate the sufficient conditions and the necessary conditions on an exchange ring R under which R has stable range one. These give nontrivial generalizations of Theorem 3 of V. P. Camillo and H.-P. Yu (1995), Theorem 4.19 of K. R. Goodearl (1979, 1991), Theorem 2 of R. E. Hartwig (1982), and Theorem 9 of H.-P. Yu (1995). 2000 Mathematics Subject Classification. Primary 16E50, 19B10. An ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2012
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2012.01.018