## Neutrosophic Rings

**Authors:** W. B. Vasantha Kandasamy, Florentin Smarandache

In this book we define the new notion of neutrosophic rings.
The motivation for this study is two-fold. Firstly, the classes of
neutrosophic rings defined in this book are generalization of the
two well-known classes of rings: group rings and semigroup
rings. The study of these generalized neutrosophic rings will
give more results for researchers interested in group rings and
semigroup rings. Secondly, the notion of neutrosophic
polynomial rings will cause a paradigm shift in the general
polynomial rings. This study has to make several changes in
case of neutrosophic polynomial rings. This would give
solutions to polynomial equations for which the roots can be
indeterminates. Further, the notion of neutrosophic matrix rings
is defined in this book. Already these neutrosophic matrixes
have been applied and used in the neutrosophic models like
neutrosophic cognitive maps (NCMs), neutrosophic relational
maps (NRMs) and so on.

**Comments:** 154 pages

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### Submission history

[v1] 11 Mar 2010

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