Matches in SemOpenAlex for { <https://semopenalex.org/work/W3092392912> ?p ?o ?g. }
- W3092392912 abstract "The twisted partition monoid $mathcal{P}_n^Phi$ is an infinite monoid obtained from the classical finite partition monoid $mathcal{P}_n$ by taking into account the number of floating components when multiplying partitions. The main result of this paper is a complete description of the congruences on $mathcal{P}_n^Phi$. The succinct encoding of a congruence, which we call a C-pair, consists of a sequence of $n+1$ congruences on the additive monoid $mathbb{N}$ of natural numbers and a certain $(n+1)timesmathbb{N}$ matrix. We also give a description of the inclusion ordering of congruences in terms of a lexicographic-like ordering on C-pairs. This is then used to classify congruences on the finite $d$-twisted partition monoids $mathcal{P}_{n,d}^Phi$, which are obtained by factoring out from $mathcal{P}_n^Phi$ the ideal of all partitions with more than $d$ floating components. Further applications of our results, elucidating the structure and properties of the congruence lattices of the ($d$-)twisted partition monoids, will be the subject of a future article." @default.
- W3092392912 created "2020-10-15" @default.
- W3092392912 creator A5069552429 @default.
- W3092392912 creator A5076978470 @default.
- W3092392912 date "2020-10-09" @default.
- W3092392912 modified "2023-10-15" @default.
- W3092392912 title "Classification of congruences of twisted partition monoids" @default.
- W3092392912 cites W1487875360 @default.
- W3092392912 cites W1507686949 @default.
- W3092392912 cites W1518573520 @default.
- W3092392912 cites W1805918182 @default.
- W3092392912 cites W1842847600 @default.
- W3092392912 cites W1953909419 @default.
- W3092392912 cites W1968273868 @default.
- W3092392912 cites W1986129741 @default.
- W3092392912 cites W2007325029 @default.
- W3092392912 cites W2007614225 @default.
- W3092392912 cites W2013590248 @default.
- W3092392912 cites W2015411876 @default.
- W3092392912 cites W2023648368 @default.
- W3092392912 cites W2056954154 @default.
- W3092392912 cites W2069732727 @default.
- W3092392912 cites W2081884844 @default.
- W3092392912 cites W2086681482 @default.
- W3092392912 cites W2087991161 @default.
- W3092392912 cites W2105619816 @default.
- W3092392912 cites W2120207347 @default.
- W3092392912 cites W2121147264 @default.
- W3092392912 cites W2137459590 @default.
- W3092392912 cites W2148790674 @default.
- W3092392912 cites W2155365991 @default.
- W3092392912 cites W2169915608 @default.
- W3092392912 cites W2273922848 @default.
- W3092392912 cites W2315234012 @default.
- W3092392912 cites W2321710567 @default.
- W3092392912 cites W2886897361 @default.
- W3092392912 cites W2911806688 @default.
- W3092392912 cites W2913136524 @default.
- W3092392912 cites W2962781288 @default.
- W3092392912 cites W2962968426 @default.
- W3092392912 cites W2963392446 @default.
- W3092392912 cites W2963631886 @default.
- W3092392912 cites W2963922126 @default.
- W3092392912 cites W2964011585 @default.
- W3092392912 cites W2964218164 @default.
- W3092392912 cites W2964270729 @default.
- W3092392912 cites W3000680887 @default.
- W3092392912 cites W3003867845 @default.
- W3092392912 cites W3004990464 @default.
- W3092392912 cites W3037702303 @default.
- W3092392912 cites W3047991606 @default.
- W3092392912 cites W3093166613 @default.
- W3092392912 cites W3120150514 @default.
- W3092392912 cites W3122605567 @default.
- W3092392912 hasPublicationYear "2020" @default.
- W3092392912 type Work @default.
- W3092392912 sameAs 3092392912 @default.
- W3092392912 citedByCount "0" @default.
- W3092392912 crossrefType "posted-content" @default.
- W3092392912 hasAuthorship W3092392912A5069552429 @default.
- W3092392912 hasAuthorship W3092392912A5076978470 @default.
- W3092392912 hasConcept C114614502 @default.
- W3092392912 hasConcept C118615104 @default.
- W3092392912 hasConcept C132074034 @default.
- W3092392912 hasConcept C184264201 @default.
- W3092392912 hasConcept C206901836 @default.
- W3092392912 hasConcept C2524010 @default.
- W3092392912 hasConcept C33923547 @default.
- W3092392912 hasConcept C42812 @default.
- W3092392912 hasConcept C9973445 @default.
- W3092392912 hasConceptScore W3092392912C114614502 @default.
- W3092392912 hasConceptScore W3092392912C118615104 @default.
- W3092392912 hasConceptScore W3092392912C132074034 @default.
- W3092392912 hasConceptScore W3092392912C184264201 @default.
- W3092392912 hasConceptScore W3092392912C206901836 @default.
- W3092392912 hasConceptScore W3092392912C2524010 @default.
- W3092392912 hasConceptScore W3092392912C33923547 @default.
- W3092392912 hasConceptScore W3092392912C42812 @default.
- W3092392912 hasConceptScore W3092392912C9973445 @default.
- W3092392912 hasLocation W30923929121 @default.
- W3092392912 hasOpenAccess W3092392912 @default.
- W3092392912 hasPrimaryLocation W30923929121 @default.
- W3092392912 hasRelatedWork W1442266975 @default.
- W3092392912 hasRelatedWork W1976989419 @default.
- W3092392912 hasRelatedWork W1985811477 @default.
- W3092392912 hasRelatedWork W1997564211 @default.
- W3092392912 hasRelatedWork W2018465606 @default.
- W3092392912 hasRelatedWork W2031397968 @default.
- W3092392912 hasRelatedWork W2050207319 @default.
- W3092392912 hasRelatedWork W2253007330 @default.
- W3092392912 hasRelatedWork W2594081812 @default.
- W3092392912 hasRelatedWork W2618482423 @default.
- W3092392912 hasRelatedWork W2767788697 @default.
- W3092392912 hasRelatedWork W2776212442 @default.
- W3092392912 hasRelatedWork W2798740762 @default.
- W3092392912 hasRelatedWork W2950463691 @default.
- W3092392912 hasRelatedWork W2952398860 @default.
- W3092392912 hasRelatedWork W2964232903 @default.
- W3092392912 hasRelatedWork W3159777583 @default.
- W3092392912 hasRelatedWork W3161573913 @default.