Ubiquitination (also known as ubiquitylation) is an enzymatic, post-translational modification (PTM) process in which a ubiquitin protein is attached to a substrate protein. This process most commonly binds the last amino acid of ubiquitin (glycine 76) to a lysine residue on the substrate. An isopeptide bond is formed between the carboxylic acid group of the ubiquitin's glycine and the epsilon amino group of the substrate's lysine. Cases are known in which the amine group of a protein's N-terminus is used for ubiquitination, rather than a lysine residue. In a few rare cases nonlysine residues have been identified as ubiquitination targets, such as cysteine, threonine and serine. The end result of this process is the addition of one ubiquitin molecule (monoubiquitination) or a chain of ubiquitin molecules (polyubiquitination) to the substrate protein.

Reference
Wiki: Ubiquitination

    Polyubiquitination is the formation of a ubiquitin chain on a single lysine residue on the substrate protein. Following addition of a single ubiquitin moiety to a protein substrate, further ubiquitin molecules can be added to the first, yielding a polyubiquitin chain. These chains are made by linking the glycine residue of a ubiquitin molecule to a lysine of ubiquitin bound to a substrate. Ubiquitin has seven lysine residues and an N-terminus that may serve as points of ubiquitination; they are K6, K11, K27, K29, K33, K48, and K63. Lysine 48-linked chains were the first identified and are the best-characterised type of ubiquitin chain. K63 chains have also been well-characterised, whereas the function of other lysine chains, mixed chains, branched chains, N-terminal linear chains, and heterologous chains (mixtures of ubiquitin and other ubiquitin-like proteins) remains more unclear.

Reference
Wiki: Polyubiquitination

    Monoubiquitination is the addition of one ubiquitin molecule to one substrate protein residue. Multi-monoubiquitination is the addition of one ubiquitin molecule to multiple substrate residues. The monoubiquitination of a protein can have different effects to the polyubiquitination of the same protein. The addition of a single ubiquitin molecule is thought to be required prior to the formation of polyubiquitin chains. Monoubiquitination affects cellular processes such as membrane trafficking, endocytosis and viral budding.

Reference
Wiki: Monoubiquitination