- 代数学 dàishùxué algebraalgebra (as a branch of mathematics)
- 代数和 dàishùhé algebraic sumthe sum of a set of numbers taking their signs into account
- 代数式 dàishùshì algebraic expression
- 布尔代数 Bù'ěrdàishù Boolean algebra
- 李代数 Lǐdàishù Lie algebraLie algebra (math.)
- 代数群 dàishùqún algebraic groupalgebraic group (math.)
- 代数数域 dàishùshùyù algebraic number fieldalgebraic number field (math.)
- 代数方程 dàishùfāngchéng algebraic equation
- 代数曲线 dàishùqūxiàn algebraic curve(math.) algebraic curve
- 代数曲面 dàishùqūmiàn algebraic surface
- 代数簇 dàishùcù algebraic varietyalgebraic variety (math.)
- 代数结构 dàishùjiégòu algebraic structure
- 代数量 dàishùliàng algebraic quantity
- 初等代数 chūděngdàishù elementary algebra
- 向量代数 xiàngliàngdàishù vector algebra
- 抽象代数 chōuxiàngdàishù abstract algebra
- 泛代数 fàndàishù universal algebrathe study of algebraic structures themselves, rather than examples of specific types of algebras
- 线性代数 xiànxìngdàishù linear algebra
- 高等代数 gāoděngdàishù higher algebra
- 交换代数 jiāohuàndàishù commutative algebra(math.) commutative algebra
- 高维代数簇 gāowéidàishùcù high-dimensional variety(math.) higher dimensional algebraic variety
- 交换代数学 jiāohuàndàishùxué commutative algebra(mathematics) commutative algebra
- 代数几何 dàishùjǐhé algebraic geometry
- 代数几何学 dàishùjǐhéxué algebraic geometry
- 代数函数 dàishùhánshù algebraic function
- 代数函数论 dàishùhánshùlùn algebraic function theoryalgebraic function theory (math.)
- 代数拓扑 dàishùtuòpū algebraic topologyalgebraic topology (mathematics)