**InternationaleJournals**

**Pre A*- Clones, “If-Then-Else” Structures over Pre A*- Algebra**

^{1}**K. Suguna Rao and ^{2}P.Koteswara Rao**

** ^{1}**Dept. of Mathematics, Acharya Nagarjuna University,
Nagarjuna Nagar-522 510, Andhra Pradesh, INDIA. e-mail ID: sugunaraok@yahoo.com

** ^{2}**Dept. of Commerce, Acharya Nagarjuna University,
Nagarjuna Nagar-522 510,

**Abstract:**** **In this paper we divide two sections. In the first section we introduce
the Definition of Pre A*-Clone, Every Pre A*-Clone generates Pre A*-algebra,
Pre A*-algebra forms Pre A*-Clone and some other theorems. Definition of
Boolean Clone ,Every Boolean clone generates Boolean Algebra. In the Second
Section ,we introduce the definition of
if-then –else operation on pre A*-algebra and pointed set and some other theorems.

**Key Words**: Clone, A*-Clone, Boolean Algebra, Huntington’s
theorem.

**International
eJournal of Mathematics and Engineering**

**Volume 5,
Issue ****1,** **Pages: ** 2340 - 2353