A-perfect lattice

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Authors :

Seema Bagora1*

Author Address :

1Department of Applied Mathematics, Shri Vaishnav Vidyapeeth Vishwavidyalaya, Gram Baroli, Sanwer Road, Indore (M.P.) 453331 India.

*Corresponding author.

Abstract :

In the Paper [3] authors define the concept of $A$-perfect Group. Inspired by [3], we give a new concept of $A$-perfect lattice. If $gin L$ and $alphain A$, then the element $[g;alpha]=g^{-1}alpha(g)$ is an auto commutator of $g$ and $alpha$, if is taken to be an inner automorphism, then the autocommutator sublattice is the derived sublattice $L’$ of $L.$ A lattice $L$ is said to be perfect if $L = L’$. Here, the perception of A-perfect lattices would be introduced. A lattice L would be known as $A$-perfect, if $L = K(L).$

Keywords :

Perfect lattice, A-perfect group, finite abelian group.



Article Info :

Received : March 21, 2018; Accepted : April 19, 2018.



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