t-valuations and the theory of quasi-divisors Original Research Article

Various types of po-groups with a quasi-divisor theory (including po-groups with an independent theory of quasi-divisors and po-groups with a theory of quasi-divisors of finite character) are characterized by various t-valuations. Relationships between po-groups and integral domains (including relationships between po-groups with independent theory of quasi-divisors and independent rings of Krull type and relationships between well behaved integral domains and their corresponding groups of divisibility) are investigated.