## Smarandache Special Definite Algebraic Structures

**Authors:** W. B. Vasantha Kandasamy

In this book we introduce the notion of Smarandache special
definite algebraic structures. We can also call them equivalently
as Smarandache definite special algebraic structures. These new
structures are defined as those strong algebraic structures which
have in them a proper subset which is a weak algebraic
structure. For instance, the existence of a semigroup in a group
or a semifield in a field or a semiring in a ring. It is interesting
to note that these concepts cannot be defined when the algebraic
structure has finite cardinality i.e., when the algebraic structure
has finite number of elements in it.

**Comments:** 141 pages

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### Submission history

[v1] 7 Mar 2010

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