The semitrivial ideal extension
DOI10.1142/s0219498825500203MaRDI QIDQ6655533
Publication date: 23 December 2024
Published in: Journal of Algebra and its Applications (Search for Journal in Brave)
Rees algebracanonical idealnumerical duplicationnearly Gorenstein ringNagata's idealization\(\mathbb{Z}_2\)-graded ringgenerically Gorenstein ringideal duplicationsemitrivial extension
Principal ideal rings (13F10) Commutative Noetherian rings and modules (13E05) Graded rings (13A02) Integral domains (13G05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30) Graded rings and modules (associative rings and algebras) (16W50) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Extension theory of commutative rings (13B02) Cohen-Macaulay modules (13C14) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Formal power series rings (13F25) Research exposition (monographs, survey articles) pertaining to commutative algebra (13-02) Extensions of associative rings by ideals (16S70) Torsion modules and ideals in commutative rings (13C12) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02)
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