GroupOperations

interface GroupOperations<T> : Algebra<T>

Represents group without neutral element (also known as inverse semigroup), i.e. algebraic structure with associative, binary operation add.

Parameters

the type of element of this semispace.

Types

Companion

common

object Companion

Functions

add

common

abstract fun add(a: T, b: T): T

Addition of two elements.

binaryOperation

common

open fun binaryOperation(operation: String, left: T, right: T): T

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

common

open override fun binaryOperationFunction(operation: String): (T, T) -> T

Dynamically dispatches a binary operation with the certain name.

bindSymbol

common

open fun bindSymbol(value: String): T

The same as bindSymbolOrNull but throws an error if symbol could not be bound

bindSymbolOrNull

common

open fun bindSymbolOrNull(value: String): T?

Wraps a raw string to T object.

minus

common

open operator fun T.minus(b: T): T

Subtraction of two elements.

plus

common

open operator fun T.plus(b: T): T

Addition of two elements.

unaryMinus

common

abstract operator fun T.unaryMinus(): T

The negation of this element.

unaryOperation

common

open fun unaryOperation(operation: String, arg: T): T

Dynamically invokes an unary operation with the certain name.

unaryOperationFunction

common

open override fun unaryOperationFunction(operation: String): (T) -> T

Dynamically dispatches an unary operation with the certain name.

unaryPlus

common

open operator fun T.unaryPlus(): T

Returns this value.

Inheritors

Group

RingOperations