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- W2098490506 abstract "The present paper is devoted to the description of Gorenstein tiled orders with hereditary ring of multipliers of the Jacobson radical. It is proved that all Gorenstein (0; 1)-tiled orders satisfy this property. On the Algebraic Seminar of the Kiev Taras Shevchenko University Yu. Drozd had proposed a problem of description of Gorenstein tiled orders over discrete valuation ring (d.v.r.) with the hereditary ring of multipliers of the Jacobson radical. In our terminology a tiled order over a disrete valuation ring coincides with a prime semimaximal ring [ZK1], [ZK2]. Every tiled order over a d.v.r. O is dened by the exponent matrix E(). Hence for the xed d.v.r. O it is sucien t to describe the exponent matrices of such orders. Moreover, we can consider a tiled order be reduced, i.e. the exponent matrix E() have not symmetric zeroes. The reader is referred to [Sim 1] and [ZK1], [ZK2] for information on tiled orders." @default.
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- W2098490506 date "2001-01-01" @default.
- W2098490506 modified "2023-09-26" @default.
- W2098490506 title "GORENSTEIN TILED ORDERS WITH HEREDITARY RING OF MULTIPLIERS OF JACOBSON RADICAL" @default.
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