Irena Backus. <i>Leibniz: Protestant Theologian</i>

Irena Swanson

1. Primary ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Primary modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 3. Primary decompositions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 4. More ways to get associated primes . . . . . . . . . . . . . . . . . . . . . . . 12 5. Witnesses . . . . . . . . . . . . . . . . . . ...

Irena Peeva

S OF SOME OF MY PAPERS GROUPED BY TOPIC 1. Regularity. Let k be an algebraically closed field. We will work over a standard graded polynomial ring U over k. Projective dimension and regularity are the main numerical invariants that measure the complexity of a minimal free resolution. Let L be a homogeneous ideal in U , and let b ij (L) be its graded Betti numbers. The projective dimension pd(L)...

Irena Swanson Primary decompositions

Table of contents 1. Primary ideals 1 2. Primary modules 3 3. Primary decompositions 6 4. More ways to get associated primes 11 5. Witnesses 14 6. Canonical primary decomposition 17 7. Associated primes of powers of an ideal 18 8. Primary decompositions of powers of an ideal 20 9. An algorithm for computing primary decompositions 24 10. Complexity of associated primes 28 11. Exercises 31 Biblio...

Cloning in Protestant perspective.

The Vanishing Protestant Majority

1 Advantages of using the GSS include a) its measurement of Protestants has not changed over the years, b) its high quality (e.g. its high overall response rate and low item non-response on religion), and c) its large sample size (over 43,000 respondents in 1972-2002).