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Polynomial rings (V-U)
- Course:Commutative Algebra (V-U)
- Discipline:Basic and Health Sciences
- Institute:Virtual University
- Instructor(s): Dr. Sarfraz Ahmad
- Level:Graduate
Commutative Algebra (V-U)
- Abelian groups (V-U)
- Algebraic variety (V-U)
- Algebraic variety of an ideal (V-U)
- Application 1 (V-U)
- Application-4 (V-U)
- Application-5 (V-U)
- Application-6 (V-U)
- Applications of Grobner Bases-1 (V-U)
- Applications of Grobner Bases-2 (V-U)
- Applications of Grobner Bases-3 (V-U)
- Applications of Grobner Bases-4 (V-U)
- Applications of Grobner Bases-5 (V-U)
- Applications of Grobner Bases-6 (V-U)
- Applications of Grobner Bases-7 (V-U)
- f- vector of simpicial complexes (V-U)
- binary operations (V-U)
- f- vector of simpicial complexes 2 (V-U)
- Buchberger's algorithm-1 (V-U)
- f- vector of simpicial complexes 3 (V-U)
- Buchberger's algorithm-2 (V-U)
- Graded ideal (V-U)
- Cohen Macaulay Rings (V-U)
- Grbner Bases 4 (V-U)
- Dickson's lemma (V-U)
- Grobner Bases 3 (V-U)
- Dickson's lemma results-1 (V-U)
- Grobner bases example-1 (V-U)
- Dickson's lemma results-2 (V-U)
- Grobner bases example-2 (V-U)
- Division Algorithm -1 (V-U)
- Grobner Bases Summary (V-U)
- Division Algorithm-2 (V-U)
- Grobner Bases-1 (V-U)
- Division Algorithm-3 (V-U)
- Grobner Bases-2 (V-U)
- Examples simplicial complexes (V-U)
- Group examples (V-U)
- Groups (V-U)
- Hilbert Bases Theorem (V-U)
- Hilbert bases theorem-1 (V-U)
- Hilbert bases theorem-2 (V-U)
- Hilbert bases theorem-3 (V-U)
- Hilbert Sereis 1 (V-U)
- Hilbert Series 2 (V-U)
- Hilbert Series 3 (V-U)
- Homogeneous polynomials (V-U)
- Ideal membership problem (V-U)
- Ideal Membership Problem Solution (V-U)
- Ideals (V-U)
- Identity/inverse uniqueness (V-U)
- Intersections of monomial examples (V-U)
- Intersections of monomial ideals (V-U)
- Introduction (V-U)
- Introduction to grobnor bases (V-U)
- Irreducible monomial ideals (V-U)
- Irreducible monomial ideals 2 (V-U)
- Irreducible monomial ideals example (V-U)
- Irreducible monomial ideals example 2 (V-U)
- Irreducible monomial ideals example 3 (V-U)
- K-Algebra homomorphism (V-U)
- K-Algebra homomorphism example (V-U)
- KKT example (V-U)
- Krull Dimension (V-U)
- Kruskal Katona theorem (V-U)
- Kruskal Katona theorem P1 (V-U)
- Kruskal Katona theorem P2 (V-U)
- Lexicographical Order (V-U)
- Maximal ideals (V-U)
- Minimal grobner bases-1 (V-U)
- Minimal grobner bases-2 (V-U)
- Monomial ideals (V-U)
- Operations on polynomial (V-U)
- Monomial ideals reasult-1 (V-U)
- Monomial ideals reasult-2 (V-U)
- Polynomial ring result (V-U)
- Operations on ideas (V-U)
- Polynomial rings (V-U)
- Operations on monomial ideals (V-U)
- Polynomial rings-02 (V-U)
- Power of monomial ideals (V-U)
- Primary decomposition (V-U)
- Primary decomposition example 1 (V-U)
- Primary decomposition example 2 (V-U)
- Primary decomposition example 3 (V-U)
- Primary ideals (V-U)
- Prime ideals (V-U)
- Principal ideal (V-U)
- Sets maps (V-U)
- Proposition (graded ideal) (V-U)
- Shellable Simplicial Complex (V-U)
- Simplicial complexes example 1 (V-U)
- Quotient of ideals examples-1 (V-U)
- Simplicial complexes example 2 (V-U)
- Quotient of ideals examples-2 (V-U)
- Simplicial complexes-01 (V-U)
- Quotient of Monomial ideals (V-U)
- simplicial complexes-02 (V-U)
- Radical ideal criteria (V-U)
- Square free monomial ideals (V-U)
- Radical of a monomial ideal (V-U)
- Stanley Reisner ring 1 (V-U)
- Radical of an ideal (V-U)
- Stanley Reisner ring 2 (V-U)
- Reduced grobner bases (V-U)
- Subgroups (V-U)
- Reverse lexicographical ordering (V-U)
- Term Orders (V-U)
- Rings (V-U)
- Term Orders of Proposition (V-U)
- rings examples (V-U)
- Term Orders Proposition 2 (V-U)
- Rings homorphism (V-U)
- The Degree Lexicographical Order (V-U)
- S. Polynomial (V-U)
- The Degree Reverse Lexicographical Order (V-U)
- The linear case (V-U)
- The linear case-1 (V-U)
- The One Variable Case (E.A) (V-U)
- The One Variable Case (E.A) 2 (V-U)
- The one variable case 1 (V-U)
- The one variable case 2 (V-U)
- The one variable case 3 (V-U)
- The One Variable Case 5 (V-U)
- Theorem 1.1 (V-U)