2 x 2 permanental ideals of hypermatrices
  We study the structure of ideals generated by some classes of 2 \times 2 permanents of hypermatrices. This generalizes [9] on 2 x 2 permanental ideal of generic matrices. We compare the obtained structure to that of the corresponding determinantal ideals in [Swanson-Taylor 11]: while the notion of t-switchability introduced in [11] plays a role for both permanental and determinantal ideals, the permanents require further restrictions, which in general increases the number of minimal primes. In the last two section we examine a few related classes of permanental ideals.   This is an extension of the first author's senior thesis at Reed College, 2011, under the second author's supervision. 
Julia Porcino and Irena Swanson
math.AC