W. B. Vasantha Kandasamy, Florentin Smarandache
2015
Study of MOD planes happens to a very recent one. Authors have studied several properties of MOD real planes. In fact unlike the real plane R × R which is unique MOD real planes are infinite in number. Further three other new types of MOD planes constructed using dual numbers, special dual number like numbers and special quasi dual numbers are introduced. Systematically algebraic structures on MOD planes like, MOD semigroups, MOD groups and MOD rings of different types are defined and studied. Such study is very new and innovative for a large four quadrant planes are made into a small MOD planes. Several distinct features enjoyed by these MOD planes are defined, developed and described in this book.
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