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Full-Text Articles in Physical Sciences and Mathematics
Flexible Algebras Of Degree Two, Joseph H. Mayne
Flexible Algebras Of Degree Two, Joseph H. Mayne
Mathematics and Statistics: Faculty Publications and Other Works
All known examples of simple flexible power-associative algebras of degree two are either commutative or noncommutative Jordan. In this paper we construct an algebra which is partially stable but not commutative and not a noncommutative Jordan algebra. We then investigate the multiplicative structure of those algebras which are partially stable over an algebraically closed field of characteristic p A 2, 3, 5. The results obtained are then used to develop conditions under which such algebras must be commutative.
Contributions To Measure Theory., Merepalli Bhaskara Rao Dr.
Contributions To Measure Theory., Merepalli Bhaskara Rao Dr.
Doctoral Theses
This thesis 1s devoted to a study of measures vith emplas sis on nonatonie nea sures. Me briefrly desoribe here the work carried out in various chapters. In Chapter 1, we study various aspects of nonatomic nea sures based on some characterisations obtained early in the Chapter. In Chapter 2, the problem - when a mixture of nonatoftic mea sures is nonatomic - is exanined. An example and rive sufficient conditions are given. In Chapter 3, we examine when a mixture of 1nvariant non-ergorlie mesures is non-ergodic. An example and three sufficient eonditions are given. In Chapter 4, we study …