Ore Condition and Nowhere-Zero 3-Flows

2008 ◽  
Vol 22 (1) ◽  
pp. 288-294 ◽  
Author(s):  
Genghua Fan ◽  
Chuixiang Zhou
Keyword(s):  
Ore Condition

On the Ring of Quotients at a Prime Ideal of a Right Noetherian Ring

1972 ◽  
Vol 24 (4) ◽  
pp. 703-712 ◽  
Author(s):  
A. G. Heinicke
Keyword(s):  
Prime Ideal ◽  
Noetherian Ring ◽  
Quotient Ring ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Torsion Class ◽  
Ring Of Quotients ◽  
Ore Condition ◽  
The Right ◽  
Necessary And Sufficient

J. Lambek and G. Michler [3] have initiated the study of a ring of quotients RP associated with a two-sided prime ideal P in a right noetherian ring R. The ring RP is the quotient ring (in the sense of [1]) associated with the hereditary torsion class τ consisting of all right R-modules M for which HomR(M, ER(R/P)) = 0, where ER(X) is the injective hull of the R-module X.In the present paper, we shall study further the properties of the ring RP. The main results are Theorems 4.3 and 4.6. Theorem 4.3 gives necessary and sufficient conditions for the torsion class associated with P to have property (T), as well as some properties of RP when these conditions are indeed satisfied, while Theorem 4.6 gives necessary and sufficient conditions for R to satisfy the right Ore condition with respect to (P).

scholarly journals Ore-condition and Z3-connectivity

2008 ◽  
Vol 29 (7) ◽  
pp. 1587-1595 ◽  
Author(s):  
Rong Luo ◽  
Rui Xu ◽  
Jianhua Yin ◽  
Gexin Yu
Keyword(s):  
Ore Condition

Graded prime ideals and the left ore condition

1980 ◽  
Vol 8 (9) ◽  
pp. 861-868 ◽  
Author(s):  
F. Van Oystaeyen
Keyword(s):  
Prime Ideals ◽  
Ore Condition

The ore condition for polynomial and power series rings

1995 ◽  
Vol 23 (14) ◽  
pp. 5131-5159 ◽  
Author(s):  
Ferran Cedó ◽  
Dolors Herbera
Keyword(s):  
Power Series ◽  
Ore Condition ◽  
Power Series Rings

scholarly journals Lower and upper orientable strong diameters of graphs satisfying the Ore condition

2009 ◽  
Vol 22 (7) ◽  
pp. 994-997 ◽  
Author(s):  
Meirun Chen ◽  
Xiaofeng Guo ◽  
Hao Li
Keyword(s):  
Ore Condition
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