On the lattice of z-ideals of a commutative ring
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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
On the lattice of z◦-ideals (resp., z-ideals) and its applications
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DOI: 10.2298/fil2422811a
Abstract: An ideal I of a commutative ring R is a z?-ideal (resp., z-ideal) if, for each a ? I, the intersection of all minimal prime ideals (resp., maximal ideals) containing a is contained in I.… read more here.
Keywords: normal lattice; wsa ring; lattice ideals; ideals resp ... See more keywords