Abstract Algebra: MAT 311
- Authors: Makamba, B B , Murali, V
- Date: 2011-06
- Language: English
- Type: Examination paper
- Identifier: vital:17606 , http://hdl.handle.net/10353/d1009981
- Description: Algebra: MAT 311, degree examination June 2011.
- Full Text: false
- Date Issued: 2011-06
Advanced Calculus: MAT 211
- Authors: Ngcibi, S , Makamba, B B
- Date: 2011-06
- Language: English
- Type: Examination paper
- Identifier: vital:17604 , http://hdl.handle.net/10353/d1009979
- Description: Advanced Calculus: MAT 211, degree examination June 2011.
- Full Text: false
- Date Issued: 2011-06
Fundamentals: MAT 212
- Authors: Ngcibi, S , Makamba, B B
- Date: 2011-06
- Language: English
- Type: Examination paper
- Identifier: vital:17605 , http://hdl.handle.net/10353/d1009980
- Description: Fundamentals: MAT 212, degree examination June 2011.
- Full Text: false
- Date Issued: 2011-06
Mathematics Method: EDM 312
- Authors: Makamba, B B , Mahlasela, Z
- Date: 2011-06
- Language: English
- Type: Examination paper
- Identifier: vital:17596 , http://hdl.handle.net/10353/d1009970
- Description: Mathematics Method: EDM 312, degree examination June 2011.
- Full Text: false
- Date Issued: 2011-06
Mathematics: MAT 113F
- Authors: Somniso, M N , Maweza, L , Makamba, B B , Kwinana, P
- Date: 2011-06
- Language: English
- Type: Examination paper
- Identifier: vital:17602 , http://hdl.handle.net/10353/d1009976
- Description: Mathematics: MAT 113F , degree examination June 2011.
- Full Text: false
- Date Issued: 2011-06
Analytical Methods: MAP 221
- Authors: Makamba, B B , Mahlasela, Z
- Date: 2010-11
- Language: English
- Type: Examination paper
- Identifier: vital:17609 , http://hdl.handle.net/10353/d1009984
- Description: Analytical Methods: MAP 221, degree examination November 2010.
- Full Text: false
- Date Issued: 2010-11
Geometry (Mathematics 2): MAT 225
- Authors: Ngcibi, S , Makamba, B B
- Date: 2010-11
- Language: English
- Type: Examination paper
- Identifier: vital:17622 , http://hdl.handle.net/10353/d1009999
- Description: Geometry (Mathematics 2): MAT 225, degree examination Nov/Dec 2010.
- Full Text: false
- Date Issued: 2010-11
Linear Algebra: MAT 223
- Authors: Ngcibi, S , Makamba, B B
- Date: 2010-11
- Language: English
- Type: Examination paper
- Identifier: vital:17620 , http://hdl.handle.net/10353/d1009997
- Description: Linear Algebra: MAT 223, degree examination Nov/Dec 2010.
- Full Text: false
- Date Issued: 2010-11
Mathematics: MAT 121
- Authors: Somniso, M N , Maweza, L , Kwinana, P , Makamba, B B
- Date: 2010-11
- Language: English
- Type: Examination paper
- Identifier: vital:17614 , http://hdl.handle.net/10353/d1009989
- Description: Mathematics: MAT 121, degree examination November 2010.
- Full Text: false
- Date Issued: 2010-11
Real analysis (Mathematics 2): MAT 224
- Authors: Makamba, B B , Ndiweni, O
- Date: 2010-11
- Subjects: Mathematics
- Language: English
- Type: Examination paper
- Identifier: vital:17627 , http://hdl.handle.net/10353/d1010004
- Description: Real analysis (Mathematics 2): MAT 224, degree examinations November 2010.
- Full Text: false
- Date Issued: 2010-11
Measure and Integration Theory (Mathematics Honours): MAT 508
- Authors: Makamba, B B , Murali, V
- Date: 2010-01
- Language: English
- Type: Examination paper
- Identifier: vital:17594 , http://hdl.handle.net/10353/d1009968
- Description: Measure and Integration Theory (Mathematics Honours): MAT 508, degree examination January 2010.
- Full Text: false
- Date Issued: 2010-01
Universal Algebra (Mathematics Masters): MAT 702
- Authors: Makamba, B B , Murali, V
- Date: 2010-01
- Language: English
- Type: Examination paper
- Identifier: vital:17595 , http://hdl.handle.net/10353/d1009969
- Description: Universal Algebra (Mathematics Masters): MAT 702, degree examination January 2010.
- Full Text: false
- Date Issued: 2010-01
Studies in fuzzy groups
- Authors: Makamba, B B
- Date: 1993
- Subjects: Mathematics Fuzzy sets Fuzzy systems
- Language: English
- Type: Thesis , Doctoral , PhD
- Identifier: vital:5415 , http://hdl.handle.net/10962/d1005229
- Description: In this thesis we first extend the notion of fuzzy normality to the notion of normality of a fuzzy subgroup in another fuzzy group. This leads to the study of normal series of fuzzy subgroups, and this study includes solvable and nilpotent fuzzy groups, and the fuzzy version of the Jordan-Hõlder Theorem. Furthermore we use the notion of normality to study products and direct products of fuzzy subgroups. We present a notion of fuzzy isomorphism which enables us to state and prove the three well-known isomorphism theorems and the fact that the internal direct product of two normal fuzzy subgroups is isomorphic to the external direct product of the same fuzzy subgroups. A brief discussion on fuzzy subgroups generated by fuzzy subsets is also presented, and this leads to the fuzzy version of the Basis Theorem. Finally, the notion of direct product enables us to study decomposable and indecomposable fuzzy subgroups, and this study includes the fuzzy version of the Remak-Krull-Schmidt Theorem.
- Full Text:
- Date Issued: 1993