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This article is cited in 3 scientific papers (total in 3 papers)
Modules over a polynomial ring obtained from
representations of finite-dimensional associative algebras
O. N. Popov M. V. Lomonosov Moscow State University
Abstract:
A construction of Cohen–Macaulay modules over a polynomial ring arising in the study of the Cauchy–Fueter equations is extended from quaternions to arbitrary finite-dimensional associative algebras. It is shown for a certain class of algebras that this construction
produces Cohen–Macaulay modules, and this class of algebras cannot be enlarged
for a perfect base field. Several properties of this construction are also described. For the class of algebras under consideration several invariants of the resulting modules are calculated.
Received: 24.05.2001
Citation:
O. N. Popov, “Modules over a polynomial ring obtained from
representations of finite-dimensional associative algebras”, Mat. Sb., 193:3 (2002), 115–134; Sb. Math., 193:3 (2002), 423–443
Linking options:
https://www.mathnet.ru/eng/sm639https://doi.org/10.1070/SM2002v193n03ABEH000639 https://www.mathnet.ru/eng/sm/v193/i3/p115
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Abstract page: | 389 | Russian version PDF: | 198 | English version PDF: | 40 | References: | 57 | First page: | 1 |
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