## D.4 Commutative algebra

> D.4.1 absfact_lib |  | absolute factorization for characteristic 0
> D.4.2 algebra_lib |  | procedures for computing with algebras and maps
> D.4.3 assprimeszerodim_lib |  | associated primes of a zero-dimensional ideal
> D.4.4 cisimplicial_lib |  | is the toric ideal of a simplicial toric variety a complete intersection?
> D.4.5 curveInv_lib |  | invariants of curves
> D.4.6 decomp_lib |  | Functional decomposition of polynomials
> D.4.7 elim_lib |  | procedures for elimination, saturation and blowing up
> D.4.8 ellipticcovers_lib |  | Gromov Witten numbers of elliptic curves
> D.4.9 ffmodstd_lib |  | Groebner bases in polynomial rings over rational function fields
> D.4.10 grwalk_lib |  | Groebner walk and Fraktal walk
> D.4.11 homolog_lib |  | procedures for homological algebra
> D.4.12 integralbasis_lib |  | Integral basis in algebraic function fields
> D.4.13 intprog_lib |  | Integer Programming
> D.4.14 modprimdec_lib |  | primary decomposition using modular methods
> D.4.15 modquotient_lib |  | ideal quotient and saturation using modular methods
> D.4.17 modstd_lib |  | Groebner basis of ideals via modular computations
> D.4.16 modules_lib |  | Representations of Modules
> D.4.18 monomialideal_lib |  | Primary and irreducible decompositions of monomial ideals
> D.4.19 mprimdec_lib |  | procedures for primary decomposition of modules
> D.4.20 mregular_lib |  | procedures for Castelnuovo-Mumford regularity
> D.4.21 nfmodstd_lib |  | Groebner bases of ideals in rings over algebraic number fields
> D.4.22 nfmodsyz_lib |  | Syzygy modules of submodules of free modules over algebraic number fields
> D.4.23 noether_lib |  | Noether normalization of an ideal
> D.4.24 normal_lib |  | procedure for normalization
> D.4.25 normaliz_lib |  | integral closure, normalization for monomial ideals, toric ideals
> D.4.26 pointid_lib |  | factorized lex GB of the vanishing ideal of a set of points
> D.4.27 primdec_lib |  | procedures for primary decomposition
> D.4.28 primdecint_lib |  | primary decomposition over the integers
> D.4.29 primitiv_lib |  | procedures for finding a primitive element
> D.4.30 realrad_lib |  | procedures for finding the real radical
> D.4.31 reesclos_lib |  | Rees Algebra and integral closure of an ideal
> D.4.32 rstandard_lib |  | Janet bases and border bases for ideals
> D.4.33 sagbi_lib |  | Subalgebras bases Analogous to Groebner bases for ideals
> D.4.34 sing4ti2_lib |  | interface to program 4ti2
> D.4.35 symodstd_lib |  | Groebner bases for symmetric ideals
> D.4.36 toric_lib |  | toric ideals

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