Published May 1, 2023 | Version v1

A Study of NeutroAlgebra and AntiAlgebra of Ideals in a Factor Ring

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If I is an ideal in a ring R and M is the collection of all nontrivial ideals in the factor ring R/I, we find in this paper conditions under which (M, ⊕), (M, ⊗) and (M, ∩) are NeutroAlgebras and AntiAlgebras where ⊕, ⊗ and ∩ are the usual sum, product and intersection of ideals in R/I.

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NeutroAlgebraAntiAlgebra36.pdf

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