Lamron ℓ-groups

Papiya Bhattacharjee, Warren Wm McGovern

Research output: Contribution to journalArticle

Abstract

The article introduces a new class of lattice-ordered groups. An ℓ-group G is lamron if Min(G)−1 is a Hausdorff topological space, where Min(G)−1 is the space of all minimal prime subgroups of G endowed with the inverse topology. It will be evident that lamron ℓ-groups are related to ℓ-groups with stranded primes. In particular, it is shown that for a W-object (G,u), if every value of u contains a unique minimal prime subgroup, then G is a lamron ℓ-group; such a W-object will be said to have W-stranded primes. A diverse set of examples will be provided in order to distinguish between the notions of lamron, stranded primes, W-stranded primes, complemented, and weakly complemented ℓ-groups.

Original languageEnglish (US)
Pages (from-to)81-98
Number of pages18
JournalQuaestiones Mathematicae
Volume41
Issue number1
DOIs
Publication statusPublished - Sep 16 2018

    Fingerprint

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Cite this

Bhattacharjee, P., & McGovern, W. W. (2018). Lamron ℓ-groups. Quaestiones Mathematicae, 41(1), 81-98. https://doi.org/10.2989/16073606.2017.1372529