We call a lattice L isoform, if for any congruence relation Θ of L, all congruence classes of Θ are isomorphic sublattices. In an earlier paper, we proved that for every finite distributive lattice D, there exists a finite isoform lattice L such that the congruence lattice of L is isomorphic to D. In this paper, we prove a much stronger result: Every finite lattice has a congruence-preserving e...

Extant literature on value congruence is fragmented due to different methodological treatments and theoretical perspectives. Proposing a typology of the value congruence concept, this paper reviews several key themes in value congruence research including staffing, socialization, leadership, job attitudes, performance, among others. By reviewing related antecedents and outcomes, discussing unde...

We prove a new congruence result for the π-calculus: bisimilarity is a congruence in the sub-calculus that does not include restriction nor sum, and features top-level replications. Our proof relies on algebraic properties of replication, and on a new syntactic characterisation of bisimilarity. We obtain this characterisation using a rewriting system rather than a purely equational axiomatisati...

This study examined the effectiveness of advertising in the context of commercialization congruence between online advertising and Web sites. Specifically, we separated commercialization congruence into commercial and noncommercial sectors, and drew from schema-congruence theory to consider the effects of commercialization congruence that may influence attitudes toward advertising. We employed ...

We clarify the explicit structure of the Hurwitz quaternion order, which is of fundamental importance in Riemann surface theory and systolic geometry. We present some properties of the associated congruence subgroups. Namely, we show that a Hurwitz group defined by a congruence subgroup associated with an odd ideal, is necessarily defined by a principal congruence subgroup. All such Hurwitz gro...