{"name": "结合环", "children": [{"name": "PI代数", "en": "algebra with polynomial identities", "superfield": "数学"}, {"name": "[双边]理想", "en": "[two-sided] ideal", "superfield": "数学"}, {"name": "中心代数", "en": "central algebra", "superfield": "数学"}, {"name": "中心单代数的指数", "en": "exponent of a central simple algebra", "superfield": "数学"}, {"name": "中心单代数的次数", "en": "degree of a central simple algebra", "superfield": "数学"}, {"name": "主幂等元", "en": "principal idempotent element", "superfield": "数学"}, {"name": "乘法结合律", "en": "associative law of multiplication", "superfield": "数学"}, {"name": "交换律", "en": "commutative law", "superfield": "数学"}, {"name": "代数同态", "en": "algebra homomorphism", "superfield": "数学"}, {"name": "代数同构", "en": "algebra isomorphism", "superfield": "数学"}, {"name": "代数的中心", "en": "center of an algebra", "superfield": "数学"}, {"name": "代数的分裂域", "en": "splitting fields of algebras", "superfield": "数学"}, {"name": "代数的分裂扩张", "en": "split extension of algebras", "superfield": "数学"}, {"name": "代数的张量积", "en": "tensor product of algebras", "superfield": "数学"}, {"name": "代数的恒等式", "en": "identities of algebras", "superfield": "数学"}, {"name": "代数的标量扩张", "en": "scalar extension of algebras", "superfield": "数学"}, {"name": "代数的根", "en": "radical of an algebra", "superfield": "数学"}, {"name": "代数的表示", "en": "representation of algebras", "superfield": "数学"}, {"name": "代数论", "en": "theory of algebras", "superfield": "数学"}, {"name": "余乘法", "en": "comultiplication", "superfield": "数学"}]}