modular lattice मीनिंग इन हिंदी

उदाहरण वाक्य

1. Modular lattices arise naturally in algebra and in many other areas of mathematics.
2. In a modular lattice, however, equality holds.
3. For instance, around 1900, he wrote the first papers on modular lattices.
4. Neumann generalized this to continuous geometries, and more generally to complemented modular lattices, as follows.
5. This result is sometimes called the "'diamond isomorphism theorem "'for modular lattices.
6. This example also shows that the lattice of all subgroups of a group is not a modular lattice in general.
7. Any complemented modular lattice having a " basis " of pairwise perspective elements, is isomorphic with the lattice of all principal regular ring.
8. Since a lattice is modular if and only if all pairs of elements are modular, clearly every modular lattice is M-symmetric.
9. However, the completion of a distributive lattice need not itself be distributive, and the completion of a modular lattice may not remain modular.
10. Her constructions include extremal even unimodular lattices in 48, 56, and 72 dimensions and an extremal 3-modular lattice in 64 dimensions.