Skip to main content
Submonoids of groups, and group-representability of restricted relation algebras
Published Web Location
https://math.berkeley.edu/~gbergman/papers/u_d_u_d.pdfNo data is associated with this publication.
Abstract
Marek Kuczma asked in 1980 whether for every positive integer n, there exists a subsemigroup M of a group G, such that G is equal to the n-fold product MM-1MM-1…M(-1)n-1, but not to any proper initial subproduct of this product. We answer his question affirmatively, and prove a more general result on representing a certain sort of relation algebra by a family of subsets of a group. We also sketch several variants of the latter result.
Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.