Kandasamy Vasantha W.B. Bialgebraic Structures and Smarandache Bialgebraic Structures

Kandasamy Vasantha W. B. Bialgebraic Structures and Smarandache Bialgebraic Structures. - American Research Press Rehoboth 2003. - 272 p.Chapter One: INTRODUCTORY CONCEPTS
Groups, Loops and S-loops
Semigroups and S-semigroups
Groupoids and S-groupoids
Rings, S-rings and S-NA-rings
Semirings, S-semirings and S-semivector spaces
Near-rings and S-near-rings
Vector spaces and S-vector spaces
Chapter Two: BIGROUPS AND SMARANDACHE BIGROUPS
Bigroups and its properties
S-bigroups and its properties
Chapter Three: BISEMIGROUPS AND SMARANDACHE
BISEMIGROUPS
Bisemigroups and its applications
Biquasigroups and its properties
S-bisemigroups and S-biquasigroups and its properties
Chapter Four: BILOOPS AND SMARANDACHE BILOOPS
Biloops and its properties
S-biloops and its properties
Chapter Five: BIGROUPOIDS AND SMARANDACHE
BIGROUPOIDS
Bigroupoids and its properties
S-bigroupoids and its properties
Applications of bigroupoids and S-bigroupoids
Direct product of S-automaton
Chapter Six: BIRINGS AND SMARANDACHE BIRINGS
Birings and its properties
Non associative birings
Smarandache birings and its propertiesChapter Seven: BISEMIRINGS, S-BISEMIRINGS, BISEMIVECTOR
SPACES AND S-BISEMIVECTOR SPACES
Bisemirings and its properties
Non associative bisemirings and its properties
S-bisemirings and its properties
Bisemivector spaces and S-bisemivector spaces
Chapter Eight: BINEAR-RING SMARANDACHE BINEAR-RINGS
Binear-rings and Smarandache binear-rings
S-binear-rings and its generalizations
Generalizations, Smarandache analogue and its applications
Chapter Nine: BISTRUCTURES, BIVECTOR SPACES AND THEIR
SMARANDACHE ANALOGUE
Bistructure and S-bistructure
Bivector spaces and S-bivector spaces
Chapter Ten: SUGGESTED PROBLEMS