On weakly 1-absorbing prime ideals

نویسندگان

چکیده

This paper introduce and study weakly 1-absorbing prime ideals in commutative rings. Let $$A $$ be a ring with nonzero identity $$1\ne 0.$$ A proper ideal $$P of is said to if for every nonunits $$x,y,z\in $$0\ne xyz\in P, then $$xy\in P$$ or $$z\in P. In addition give many properties characterizations ideals, we also determine rings which prime. Furthermore, investigate C(X), the continuous functions topological space $$X. $$

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ژورنال

عنوان ژورنال: Ricerche Di Matematica

سال: 2021

ISSN: ['1827-3491', '0035-5038']

DOI: https://doi.org/10.1007/s11587-020-00550-4