In this paper we define pure-supernilpotent radical and show that the class of all pureaupernilpotent radicals forms a complete lattice. We discuss some open questions on lattices of supernilpotent and special radica...In this paper we define pure-supernilpotent radical and show that the class of all pureaupernilpotent radicals forms a complete lattice. We discuss some open questions on lattices of supernilpotent and special radicals [5, 6] and obtain some new results.展开更多
文摘In this paper we define pure-supernilpotent radical and show that the class of all pureaupernilpotent radicals forms a complete lattice. We discuss some open questions on lattices of supernilpotent and special radicals [5, 6] and obtain some new results.