That's just part of the Y chromosome.
But this is a better cite:
> We used high throughput sequencing technology to identify the first polymorphic Y-chromosomal markers useful for tracing paternal lines. The nucleotide variability of the modern horse Y chromosome is extremely low, resulting in six haplotypes (HT), all clearly distinct from the Przewalski horse (E. przewalskii). The most widespread HT1 is ancestral and the other five haplotypes apparently arose on the background of HT1 by mutation or gene conversion after domestication.
Wallner et al. (2013) Identification of Genetic Variation on the Horse Y Chromosome and the Tracing of Male Founder Lineages in Modern Breeds
http://journals.plos.org/plosone/article?id=10.1371/journal....
So yes, it seems that all domestic stallions descend from just one ancestor stallion. That's amazing!