Definition: <P>Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B included in A which is embedded with a stronger structure S. <P>These types of structures occur in our everyday life, thatβs why we study them in th
Smarandache Semigroups
β Scribed by W. B. Vasantha Kandasamy
- Publisher
- American Research Press
- Year
- 2002
- Tongue
- English
- Leaves
- 95
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
Definition:
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B included in A which is embedded with a stronger structure S.
These types of structures occur in our everyday life, thatβs why we study them in this book.
Thus, as a particular case:
A Smarandache Semigroup is a semigroup A which has a proper subset B included in A that is a group (with respect to the same binary operation on A).
π SIMILAR VOLUMES
In any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B which is embedded with a stronger structure S. <P>By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A
A Smarandache Geometry (1969) is a geometric space (i.e., one with points, lines) such that some "axiom" is false in at least two different ways, or is false and also sometimes true. Such axiom is said to be Smarandachely denied (or S-denied for short). In Smarandache geometry, the intent is to stud
In any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B which is embedded with a stronger structure S. By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A. T