We generalize the notion of Davenport constants to a `higher degree' and obtain various lower and upper bounds, which are sometimes exact as is the case for certain finite commutative rings of prime power cardinality. Two simple examples that capture the essence of these higher degree Davenport constants are the following... (read more)

PDF Abstract- COMBINATORICS

- COMMUTATIVE ALGEBRA

- NUMBER THEORY

- 05E40 (PRIMARY), 11B30, 13M10 (SECONDARY)