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It's spelt homozygous, which may explain the difficulty when you tried to look it up haha. I don't know your level of knowledge, but it refers to genetics. There are two alleles (allele = different type of a gene) at each locus (locus = physical location of a gene on a chromosome) on a chromosome. If these alleles are the same, they are considered homozygous. I'll give an example: we have a snake that either has spots or it doesn't, and spots is the dominant phenotype (phenotype = physically expressed trait). If it has spots, then it has the S allele, and if it doesn't have spots, it has the s allele (spots is uppercase and no spots is lowercase). If the organism does not have spots, then it is homozygous recessive with two s alleles (ss). If it had spots but had one S allele and one s allele (Ss) then it is heterozygous (two different alleles). If it had spots and had two S alleles (SS) then it is homozygous dominant. I hope that clarified.
