
The aim of this article is to describe exponent matrices of Gorenstein tiled orders. The necessary and sufficient condition for possibility such to construct a Gorenstein tiled order which has given orders over some discrete valuation ring (the unique for the whole main diagonal) on the main diagonal and its permutation be a product of correspond cycles with given cyclic Gorenstein tiled order is considered.
exponent matrices, Noetherian rings and modules (associative rings and algebras), Representations of orders, lattices, algebras over commutative rings, горенштейнов черепичный порядок, матрица показателей, подстановка Кириченка, indecomposable projective lattices, Lattices over orders, Gorenstein tiled order, exponent matrix, Kirichenko's permutation, gorenstein tiled order, kirichenko's permutation, QA1-939, exponent matrix, Gorenstein tiled orders, Kirichenko permutations, горенштейновий черепичний порядок, матриця показників, підстановка Кириченка, Mathematics
exponent matrices, Noetherian rings and modules (associative rings and algebras), Representations of orders, lattices, algebras over commutative rings, горенштейнов черепичный порядок, матрица показателей, подстановка Кириченка, indecomposable projective lattices, Lattices over orders, Gorenstein tiled order, exponent matrix, Kirichenko's permutation, gorenstein tiled order, kirichenko's permutation, QA1-939, exponent matrix, Gorenstein tiled orders, Kirichenko permutations, горенштейновий черепичний порядок, матриця показників, підстановка Кириченка, Mathematics
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