Skip to main content
eScholarship
Open Access Publications from the University of California

Submonoids of groups, and group-representability of restricted relation algebras

Published Web Location

https://math.berkeley.edu/~gbergman/papers/u_d_u_d.pdf
No data is associated with this publication.
Abstract

© 2018, Springer International Publishing AG, part of Springer Nature. 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.

Item not freely available? Link broken?
Report a problem accessing this item