Indecomposables in Tors MSp∗

The Extended Module of Indecomposables

We construct a generalization of the usual module of indecomposables for the mod 2 cohomology of a finite //-space. Structure theorems are obtained regarding how the Steenrod algebra acts on this module.

Indecomposables Live in All Smaller Lengths

We show that there are no gaps in the lengths of the indecomposable objects in an abelian k-linear category over a field k provided all simples are absolutely simple. To derive this natural result we prove that any distributive minimal representation-infinite k-category is isomorphic to the linearization of the associated ray category which is shown to have an interval-finite universal cover wi...

Triangle-fa tors in powers of graphs

Directly Indecomposables in Semidegenerate Varieties of Connected po-Groupoids

We study varieties with a term-definable poset structure, po-groupoids. It is known that connected posets have the strict refinement property (SRP). In [7] it is proved that semidegenerate varieties with the SRP have definable factor congruences and if the similarity type is finite, directly indecomposables are axiomatizable by a set of first-order sentences. We obtain such a set for semidegene...

Sperm motility and MSP.

Form follows function, and this maxim is particularly true for the nematode sperm cell. Motility is essential for fertilization, and the process of spermatogenesis culminates in the production of a crawling spermatozoon with an extended pseudopod. However, the morphological similarity to amoeboid cells of other organisms is not conserved at the molecular level. Instead of utilizing the actin cy...