Geodesic
On Noether $SPSD$-rings with a point-to-point quiver
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 54-58 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper the term $SPSD$-ring for a semiabsolute and semidistributive ring is used. Let $R$ be the Jackobson radical of Noether reduced $SPSD$-ring $A$. We assume that the set $F(A)$ is nonempty. Then the quiver $Q(A)$ of $A$ is strongly connected. We show that the converse does not hold for Noether $SPSD$-rings. 
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     title = {On {Noether} $SPSD$-rings with a point-to-point quiver},
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V. V. Kirichenko; K. V. Usenko. On Noether $SPSD$-rings with a point-to-point quiver. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 54-58. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a8/

[1] Kirichenko V.V., Zhuravlev V.N., Khibina M.A., “O frobeniusovykh faktorkoltsakh neterovykh polusovershennykh kolets”, Trudy Instituta matematiki, 16:1, 47–53

[2] Hazewinkel M., Gubareni N., Kirichenko V.V., Algebras, Rings and Modules, v. 1, Mathematics and Its Applications, 575, Kluwer Acad. Publish., 2004 | MR | Zbl