Abstract
We study Santilli’s isomathematics for the generalization of modern mathematics via the isomultiplication a× a=abT and isodivision a÷ b=a/b I , where the new multiplicative unit I ≠1 is called Santilli isounit, T I =1, and T is the inverse of the isounit, while keeping unchanged addition and subtraction, , In this paper, we introduce the isoaddition a+ b=a+b+0 and the isosubtraction a- b=a-b-0 where the additive unit 0 ≠0 is called isozero, and we study Santilli isomathem,atics formulated with the four isooperations (+ ,- ,× ,÷ ). We introduce, apparently for the first time, Santilli’s isoprime theory of the first kind and Santilli’s isoprime theory of the second kind. We also provide an example to illustrate the novel isoprime isonumbers
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