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Google圖書搜尋
Algebraic Structures Using Subsets
W. B. Vasantha Kandasamy, Florentin Smarandache
出版
Infinite Study
, 2012
ISBN
1599732165
9781599732169
URL
http://books.google.com.hk/books?id=rVDdBAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
"[The] study of algebraic structures using subsets [was] started by George Boole. After the invention of Boolean algebra, subsets are not used in building any algebraic structures. In this book we develop algebraic structures using subsets of a set or a group, or a semiring, or a ring, and get algebraic structures. Using group or semigroup, we only get subset semigroups. Using ring or semiring, we get only subset semirings. By this method, we get [an] infinite number of non-commutative semirings of finite order. We build subset semivector spaces, [and] describe and develop several interesting properties about them."--