Felix Gotti, Massachusetts Institute of Technology Date: Wednesday, February 22, 5:00 pm. Abstract An integral domain R is atomic if each nonzero nonunit of R factors into irreducibles. Also, an integral domain satisfies the ascending chain condition on principal ideals (ACCP) if every increasing sequence of principal ideals (under inclusion) becomes constant from one point…
Irena Swanson, Purdue University Date: Thursday, February 23, 10:30 am. Abstract Primary decompositions are a basic tool in commutative algebra, but they also arise in other contexts. In this talk I will discuss some connections with algebraic geometry, partial differential equations, algebraic statistics, and computational complexity. Determinants of n x n matrices can be computed…
Ayman Badawi, American University of Sharjah Date: Friday, February 24, 11:00 am. Abstract Let R be a commutative ring with 1 ≠ 0, and I be a proper ideal of R. Then I is called a 2-absorbing ideal of R if whenever abc ∈ I for some a, b, c ∈ R, then ab ∈…