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                        • Abstract Algebra

                        Abstract Algebra

                        Reading time: 1min

                        Below you can find a complete list of the existing commands related to Abstract Algebra. You can access the dedicated documentation for each command by clicking on its name.

                        adjoint_element Adjoint element of a finite field quotient a polynomial
                        annihilating_polynomial Annihilating polynomial of an irrational
                        base Base ring of an extension
                        cardinal Cardinality of a set
                        characteristic Characteristic of a ring
                        components Element components in a ring
                        conjugates Conjugate of an element over the base field of an extension
                        content_and_primitive_part Content and primitive part of a polynomial
                        content Content of a polynomial
                        element_of_order Element of a desired order in a ring
                        elements Elements of a set
                        element Element of a set
                        extension Algebraic extension constructor
                        field? Checks if a set is a field
                        field Field where an element belongs
                        finite_field Finite field constructor
                        finite? Checks if a ring is finite
                        frobenius Frobenius endomorphism
                        index Position of an element in a set
                        irreducible_polynomials Irreducible polynomials of the desired degree
                        irreducible_polynomial Irreducible polynomial of the desired degree
                        irreducible? Checks if a polynomial is irreducible
                        number_of_irreducible_polynomials Amount of irreducible polynomials
                        order Order of an element over a field
                        power_modulo Power of a polynomial modulo another polynomial
                        precedent Precedent algebraic structure of an extension
                        primitive_element Primitive element of a field
                        primitive_part Primitive part of a polynomial
                        pseudoremainder Pseudoremainder of two polynomials
                        relative_degree Relative degree of an extension
                        resultant Resultant of two polynomials
                        resultant_matrix Resultant matrix of two polynomials
                        ring? Checks if a set is a ring
                        subextension? Checks if an extension is a subextension
                        total_degree Total degree of a field extension
                        tower Tower of an extension
                        Zn Zp constructor

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