On $$\phi $$-1-absorbing prime ideals
نویسندگان
چکیده
منابع مشابه
Prime Ideals and Filters 1
One can check that there exists a lattice which is non trivial, Boolean, and strict. Let X be a set. Observe that there exists a family of subsets of X which is finite and non empty. Let S be a 1-sorted structure. One can check that there exists a family of subsets of S which is finite and non empty. Let L be a non trivial upper-bounded non empty poset. Note that there exists a filter of L whic...
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The rings considered in this article are commutative with identity $1neq 0$. By a proper ideal of a ring $R$, we mean an ideal $I$ of $R$ such that $Ineq R$. We say that a proper ideal $I$ of a ring $R$ is a maximal non-prime ideal if $I$ is not a prime ideal of $R$ but any proper ideal $A$ of $R$ with $ Isubseteq A$ and $Ineq A$ is a prime ideal. That is, among all the proper ideals of $R$,...
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ژورنال
عنوان ژورنال: Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry
سال: 2021
ISSN: 0138-4821,2191-0383
DOI: 10.1007/s13366-020-00557-w