Faster access than browser!Similarities between Ideal (ring theory) and Modular arithmetic
Ideal (ring theory) and Modular arithmetic have 16 things in common (in Unionpedia): Abstract algebra, Chinese remainder theorem, Congruence relation, Coset, Cyclic group, Field (mathematics), Group theory, Integer, Maximal ideal, Number theory, Polynomial, Prime number, Quotient group, Quotient ring, Ring (mathematics), Ring theory.
Abstract algebra
In algebra, which is a broad division of mathematics, abstract algebra (occasionally called modern algebra) is the study of algebraic structures.
Abstract algebra and Ideal (ring theory) · Abstract algebra and Modular arithmetic ·
Chinese remainder theorem
The Chinese remainder theorem is a theorem of number theory, which states that if one knows the remainders of the Euclidean division of an integer by several integers, then one can determine uniquely the remainder of the division of by the product of these integers, under the condition that the divisors are pairwise coprime.
Chinese remainder theorem and Ideal (ring theory) · Chinese remainder theorem and Modular arithmetic ·
Congruence relation
In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that is compatible with the structure.
Congruence relation and Ideal (ring theory) · Congruence relation and Modular arithmetic ·
Coset
In mathematics, if G is a group, and H is a subgroup of G, and g is an element of G, then Only when H is normal will the set of right cosets and the set of left cosets of H coincide, which is one definition of normality of a subgroup.
Coset and Ideal (ring theory) · Coset and Modular arithmetic ·
Cyclic group
In algebra, a cyclic group or monogenous group is a group that is generated by a single element.
Cyclic group and Ideal (ring theory) · Cyclic group and Modular arithmetic ·
Field (mathematics)
In mathematics, a field is a set on which addition, subtraction, multiplication, and division are defined, and behave as when they are applied to rational and real numbers.
Field (mathematics) and Ideal (ring theory) · Field (mathematics) and Modular arithmetic ·
Group theory
In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.
Group theory and Ideal (ring theory) · Group theory and Modular arithmetic ·
Integer
An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").
Ideal (ring theory) and Integer · Integer and Modular arithmetic ·
Maximal ideal
In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal (with respect to set inclusion) amongst all proper ideals.
Ideal (ring theory) and Maximal ideal · Maximal ideal and Modular arithmetic ·
Number theory
Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.
Ideal (ring theory) and Number theory · Modular arithmetic and Number theory ·
Polynomial
In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Ideal (ring theory) and Polynomial · Modular arithmetic and Polynomial ·
Prime number
A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
Ideal (ring theory) and Prime number · Modular arithmetic and Prime number ·
Quotient group
A quotient group or factor group is a mathematical group obtained by aggregating similar elements of a larger group using an equivalence relation that preserves the group structure.
Ideal (ring theory) and Quotient group · Modular arithmetic and Quotient group ·
Quotient ring
In ring theory, a branch of abstract algebra, a quotient ring, also known as factor ring, difference ring or residue class ring, is a construction quite similar to the quotient groups of group theory and the quotient spaces of linear algebra.
Ideal (ring theory) and Quotient ring · Modular arithmetic and Quotient ring ·
Ring (mathematics)
In mathematics, a ring is one of the fundamental algebraic structures used in abstract algebra.
Ideal (ring theory) and Ring (mathematics) · Modular arithmetic and Ring (mathematics) ·
Ring theory
In algebra, ring theory is the study of rings—algebraic structures in which addition and multiplication are defined and have similar properties to those operations defined for the integers.
Ideal (ring theory) and Ring theory · Modular arithmetic and Ring theory ·
The list above answers the following questions
- What Ideal (ring theory) and Modular arithmetic have in common
- What are the similarities between Ideal (ring theory) and Modular arithmetic
Ideal (ring theory) and Modular arithmetic Comparison
Ideal (ring theory) has 93 relations, while Modular arithmetic has 122. As they have in common 16, the Jaccard index is 7.44% = 16 / (93 + 122).
References
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