A fictional town in northern Maine called “Almost” experiences a magical night under the northern lights. Throughout a series of vignettes, the citizens of Almost, Maine are given unlikely second-chances at …

The morphism f is an almost injection (resp. almost surjection, resp. almost isomorphism) if and only if ker(f) (resp. Coker(f), resp. ker(f) and Coker(f)) is an almost zero module.

In this section we discuss almost rings and almost modules. We assume that we have a ring R together with an ideal m of R such that m2 = m. Recall that an R-module is almost zero if mM = 0. The main …

We notice that almost zero modules was studied in the name of ephemeral persistence modules in literature, where some similar results are proven as well, see [BP21, ZM24] and references therein.

The speaker gives the basic definitions of the category of almost modules over a ring, and then builds up some commutative algebra that’s needed in the “al-most” world.

32 ALMOST HUMAN but not very intelligent; affectionate especially among themselves and in their family relations, and occasionally showing attachment to persons who befriend them.

Almost Sure Convergence of a Sequence of Random Variables (...for people who haven't had measure theory.)