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Anabelian geometry

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Anti-isomorphism
In category theory, a branch of mathematics, an antiisomorphism (or anti-isomorphism) between structured sets A and B is an isomorphism from A to the ...
Anti-homomorphism
In mathematics, an antihomomorphism is a type of function defined on sets with multiplication that reverses the order of multiplication. An antiautomo ...
数学
数学是研究数量、结构以及空间等概念及其变化的一门学科,属于形式科学的一种。数学利用抽象化和逻辑推理,从计数、计算、量度、对物体形状及运动的观察发展而成。数学家们拓展这些概念,以公式化新的猜想,以及从选定的公理及定义出发,严谨地推导出一些定理。基础数学的知识与运用是生活中不可或缺的一环。对数学基本概念 ...
概率学

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运算
最常见的运算是实数的加法和乘法。例如,在加法中,$3+2=5$表示给定一个整数的有序对$(3,2)$,有一个对应的数字$5$。通过观察这个性质,我们可以在更一般的集合论背景中,定义运算。 ...
Algebraic structure
An algebraic structure is a non-empty set equipped with a collection of operations such that some additional axioms are satisfied. Common examples of ...
Groups
Group is one of the algebraic structure in mathematics. The concept of groups was originated by Galois in the 19th century from his research on polyno ...
Abstract algebra
Abstract algebra is a branch of mathematics which focuses on the study of algebraic structures. It mainly studies the abstract aspect of algebra. In o ...
Arithmetic geometry
Algebraic geometry studies the set of solutions of a multivariable polynomial equation (or a system of such equations), usually over $\mathbb{R}$ or $ ...
Algebraic geometry
Algebraic geometry is a branch of mathematics, which makes use of techniques of abstract algebra to study geometry. Algebraic geometry is wide and pro ...
Homological algebra
Homological algebra is the branch of mathematics that studies homology in a general algebraic setting. It is a relatively young discipline, whose orig ...