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

J.V. Rao**Journal: ** Asian Journal of Algebra ISSN 1994-540X

**Volume: ** 4;

**Issue: ** 1;

**Start page: ** 1;

**Date: ** 2011;

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

irreducible elements |

dual atoms |

atoms |

lattice**ABSTRACT**

This study is on algebraic structure of Pre A*-algebra. First we recall partial ordering = on Pre A*-algebra and recall that Pre A*-algebra as a Poset. We recall if A is a Pre A*-algebra then (A, =) is a lattice. We define (for any subset L of a Pre A*-algebra) a lattice (L, ∧, ∨) in a Pre A*-algebra. We define semi lattice, sub lattice and bound elements, bounded lattice, distributive lattice, modular lattice, atoms, dual atoms, irreducible elements in a Pre A*-algebra. We define Pre A*-homomorphism and we prove representation theorem in Pre A*-Algebra also we prove f: A → P (B) is an isomorphism.

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