In this book authors for the first time elaborately study the notion of MOD vector spaces and MOD pseudo linear algebras. This study is new, innovative and leaves several open conjectures. In the first place as distributive law is not true we can define only MOD pseudo linear algebras. Secondly most of the classical theorems true in case of linear algebras are not true in case of MOD pseudo linear algebras. Finding even eigen values and eigen vectors happens to be a challenging problem. Further the notion of multidimensional MOD pseudo linear algebras are defined using the notion of MOD mixed matrices. These function only under the natural product ×n as the usual product × cannot be even defined on these mixed MOD matrices.
MOD vector space, MOD pseudo linear algebras
W.B. Vasantha Kandasamy, K. Ilanthenral, F. Smarandache. MOD Pseudo Linear Algebras . Brussels: EuropaNova ASBL, 2015.
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