#### Glasnik Matematicki, Vol. 32, No.1 (1997), 71-79.

### WEAKLY PRIME SETS FOR REAL FUNCTIONS ALGEBRAS

### H. S. Mehta and R. D. Mehta

Department of Mathematics, Sardar Patel University, Vallabh
Vidyanagar - 388 120, India

**Abstract.** We define and discuss the decompositio
corresponding to weakly prime sets for a real function algebra.
We introduce the idea of (*i*)-peak sets for a real function
algebra, study its properties and use it in the definition of
weakly prime sets.

**1991 Mathematics Subject Classification.**
46J10.

**Key words and phrases.** Real function algebra,
(*i*)-peak set, weakly prime set.

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