**Author(s): ** Y. Praroopa |

J. Venkateswara Rao**Journal: ** Asian Journal of Algebra ISSN 1994-540x

**Volume: ** 4;

**Issue: ** 1;

**Start page: ** 12;

**Date: ** 2011;

VIEW PDF DOWNLOAD PDF Original page**Keywords: ** Pre A-algebra |

complemented semilattice |

semilattice**ABSTRACT**

This paper is a study on algebraic structure of Pre A*-algebra. First we define partial ordering on Pre A*-algebra. We prove if A is a Pre A*-algebra then (A, =) is a poset. We define a semilattice on Pre A*-algebra. We prove Pre A*-algebra as a semilattice. Next we prove some theorems on semilattice over a Pre A*-algebra. We define distributive and modular semilattices on Pre A*-algebra We define complement, relative complement of an element in Pre A*-algebra. We define complemented semilattice, relatively complemented semilattices in Pre A*-algebra. We give some examples of these semilattices in Pre A*-algebra. We define weakly complemented, semi-complemented, uniquely complemented semilattices in Pre A*-algebra. We prove some theorems on these semilattices in Pre A*-algebra.

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