On the lattice of z-ideals of a commutative ring
Sign Up to like & getrecommendations! Published in 2020 at "Topology and its Applications"
DOI: 10.1016/j.topol.2019.106969
Abstract: Abstract We prove that the lattice of z-ideals of a commutative ring with identity is a coherent frame. We characterize when it is a Yosida frame, and when it satisfies some projectability properties. We also… read more here.
Keywords: lattice ideals; ideals commutative; frame; commutative ring ... See more keywords
Cayley sum graph of ideals of commutative rings
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498818501256
Abstract: Let R be a commutative ring, ℐ(R) the set of all ideals of R and S, a subset of ℐ∗(R) = ℐ(R)∖{0}. The Cayley sum graph of ideals of R, denoted by Cay(ℐ(R),S), is a… read more here.
Keywords: commutative rings; cayley sum; ideals commutative; graph ... See more keywords
On 2-Absorbing Primary Fuzzy Ideals of Commutative Rings
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Problems in Engineering"
DOI: 10.1155/2017/5485839
Abstract: In this work, we give a characterization of generalizations of prime and primary fuzzy ideals by introducing 2-absorbing fuzzy ideals and 2-absorbing primary fuzzy ideals and establish relations between 2-absorbing (primary) fuzzy ideals and 2-absorbing… read more here.
Keywords: absorbing primary; fuzzy ideals; commutative rings; ideals commutative ... See more keywords