Struct PresentedModulePower 

pub struct PresentedModulePower<R: Ring> { /* private fields */ }

A canonical symmetric or exterior power presentation of a presented module.

This value owns a checked cokernel presentation, not quotient-element normal forms. Exact arithmetic in super::ExteriorElement is therefore admitted for based free modules only; presented-module power maps descend through explicit commuting-square certificates without claiming equality or normal forms for quotient elements.

Implementations

impl<R: Ring> PresentedModulePower<R>

pub fn new( source: PresentedModule<R>, kind: ModulePowerKind, degree: usize, ) -> Result<Self, ModulePowerError>

Construct the standard quotient presentation of a module power.

pub fn source(&self) -> &PresentedModule<R>

Source presented module.

pub const fn kind(&self) -> ModulePowerKind

Symmetric or exterior construction.

pub const fn degree(&self) -> usize

Nonnegative power degree.

pub fn module(&self) -> &PresentedModule<R>

Resulting finitely presented module.

pub fn verify(&self) -> Result<(), ModulePowerError>

Recompute the complete induced presentation.

pub fn to_json(&self) -> Result<String, NoetherError>

where R: Serialize, R::Element: Serialize,

Serialize the complete induced presentation.

pub fn from_json(value: &str) -> Result<Self, NoetherError>

where R: for<'de> Deserialize<'de>, R::Element: for<'de> Deserialize<'de>,

Deserialize and independently revalidate the induced presentation.

Trait Implementations

impl<R: Clone + Ring> Clone for PresentedModulePower<R>

fn clone(&self) -> PresentedModulePower<R>

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<R: Ring> Debug for PresentedModulePower<R>

fn fmt(&self, formatter: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<'de, R> Deserialize<'de> for PresentedModulePower<R>

where R: Ring + Deserialize<'de>, R::Element: Deserialize<'de>,

fn deserialize<D>(deserializer: D) -> Result<Self, D::Error>

where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl<R: Ring> Display for PresentedModulePower<R>

fn fmt(&self, formatter: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<R: PartialEq + Ring> PartialEq for PresentedModulePower<R>

fn eq(&self, other: &PresentedModulePower<R>) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl<R: Ring> SemanticType for PresentedModulePower<R>

const TYPE_ID: &'static str = "noether/homalg/PresentedModulePower@1"

Versioned, language-neutral semantic identity.

fn canonical_bytes(&self) -> Result<Vec<u8>, NoetherError>

Serialize without backend- or language-specific identity.

fn describe() -> &'static TypeDescription

Return static discovery metadata for the type.

impl<R> Serialize for PresentedModulePower<R>

where R: Serialize + Ring, R::Element: Serialize,

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl<R: Eq + Ring> Eq for PresentedModulePower<R>

impl<R: Ring> StructuralPartialEq for PresentedModulePower<R>