The concept of non associative topological space is new and innovative. In general topological spaces are defined as union and intersection of subsets of a set X. In this book authors for the first time define non associative topological spaces using subsets of groupoids or subsets of loops or subsets of groupoid rings or subsets of loop rings. This study leads to several interesting results in this direction.
Over hundred problems on non associative topological spaces using of subsets of loops or groupoids is suggested at the end of chapter two. Also conditions for these non associative subset topological spaces to satisfy special identities is also discussed and determined.
Chapter three develops subset non associative topological spaces by using non associative ring or semirings.Over 90 problems are suggested for this chapter. These non associative subset topological spaces can be got by using matrices.
Educational Publisher Inc., Ohio
non associative topological space, neutrosophic logic
W.B. Vasantha Kandasamy & F. Smarandache. Subset Non Associative Topological Spaces. Ohio: Educational Publisher Inc., 2013
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