Primary decomposition of homogeneous ideal in idealization of a module
2018 ◽
Vol 55
(3)
◽
pp. 345-352
Keyword(s):
Let R be a commutative Noetherian ring, M a finitely generated R-module, I an ideal of R and N a submodule of M such that IM ⫅ N. In this paper, the primary decomposition and irreducible decomposition of ideal I × N in the idealization of module R ⋉ M are given. From theses we get the formula for associated primes of R ⋉ M and the index of irreducibility of 0R ⋉ M.
1991 ◽
Vol 34
(1)
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pp. 155-160
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2007 ◽
Vol 83
(2)
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pp. 217-226
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2015 ◽
Vol 15
(01)
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pp. 1650019
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2019 ◽
Vol 18
(12)
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pp. 1950236
2019 ◽
Vol 18
(01)
◽
pp. 1950015
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2018 ◽
Vol 17
(02)
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pp. 1850020
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