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On classes of finite rings
Volume 61, no. 1
(2020),
pp. 103–111
https://doi.org/10.33044/revuma.v61n1a06
Abstract
A class of rings is a formation whenever it contains all homomorphic images of
its members and if it is subdirect product closed. In the present paper, it is
shown that the lattice of all formations of finite rings is algebraic and
modular. Let $R$ be a finite commutative ring with an identity element. It is
established that there is a one-to-one correspondence between the set of all
invariant fuzzy prime ideals of $R$ and the set of all fuzzy prime ideals of
each ring of the formation generated by $R$.
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Published by the Unión Matemática Argentina |
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