About: Congruence ideal

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In algebra, the congruence ideal of a surjective ring homomorphism f : B → C of commutative rings is the image under f of the annihilator of the kernel of f. It is called a congruence ideal because when B is a Hecke algebra and f is a homomorphism corresponding to a modular form, the congruence ideal describes congruences between the modular form of f and other modular forms.

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  • In algebra, the congruence ideal of a surjective ring homomorphism f : B → C of commutative rings is the image under f of the annihilator of the kernel of f. It is called a congruence ideal because when B is a Hecke algebra and f is a homomorphism corresponding to a modular form, the congruence ideal describes congruences between the modular form of f and other modular forms. (en)
  • Inom matematiken är kongruensidealet av en surjektiv f : B → C av kommutativa ringar bilden under f av av nollrummet of f. (sv)
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  • In algebra, the congruence ideal of a surjective ring homomorphism f : B → C of commutative rings is the image under f of the annihilator of the kernel of f. It is called a congruence ideal because when B is a Hecke algebra and f is a homomorphism corresponding to a modular form, the congruence ideal describes congruences between the modular form of f and other modular forms. (en)
  • Inom matematiken är kongruensidealet av en surjektiv f : B → C av kommutativa ringar bilden under f av av nollrummet of f. (sv)
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  • Congruence ideal (en)
  • Kongruensideal (sv)
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