Spectrum of prime L-submodules
Let L be a complete lattice. We introduce and characterize the prime L-submodules of a unitary module over a commutative ring with identity. Finally, we investigate the Zariski topology on the prime L-Spectrum of a unitary module, consisting of the collection of all prime L-submodules, and prove that for L-top modules the Zariski topology on L-Spec(M) exists. (c) 2007 Elsevier B.V. All rights reserved.
prime l-submodule l-submodule complete lattice zariski topology prime l-spectrum l-top module l-primeless