Gröbner bases and primary decomposition of modules

DOI10.1016/0747-7171(92)90019-ZzbMath0776.13015MaRDI QIDQ1209627

Elizabeth W. Rutman

Publication date: 16 May 1993

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

zbMATH Keywords

Gröbner bases for modules over polynomial ringsprimary decomposition of a module

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (4)

Primary decomposition of modules: a computational differential approach ⋮ PRIME AND RADICAL SUBMODULES OF MODULES OVER COMMUTATIVE RINGS ⋮ Algorithm for primary submodule decomposition without producing intermediate redundant components ⋮ Gröbner bases in orders of algebraic number fields.

Cites Work

• On the construction of Gröbner bases using syzygies
• New constructive methods in classical ideal theory
• Gröbner bases and primary decomposition of polynomial ideals
• Ideal basis and primary decompositions: case of two variables
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