On the structure of finite commutative rings with an identity
Copyright policy )On the structure of finite commutative rings with an identity
The author describes the structure of finite primary principal ideal rings and proves that every such ring is the factor-ring of the ring of integers of a finite extension of the field of rational \(p\)-adic numbers. He also studies the question of the number of nonisomorphic rings of this type with a fixed number of elements
number of non-isomorphic rings, Structure of finite commutative rings, Principal ideal rings, Structure theory for finite fields and commutative rings (number-theoretic aspects), finite primary principal ideal rings, Algebraic number theory: local fields
number of non-isomorphic rings, Structure of finite commutative rings, Principal ideal rings, Structure theory for finite fields and commutative rings (number-theoretic aspects), finite primary principal ideal rings, Algebraic number theory: local fields
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