Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962714354> ?p ?o ?g. }
Showing items 1 to 92 of
92
with 100 items per page.
- W2962714354 endingPage "220" @default.
- W2962714354 startingPage "193" @default.
- W2962714354 abstract "We call a restriction semigroup almost perfect if it is proper and the least congruence that identifies all its projections is perfect. We show that any such semigroup is isomorphic to a ‘ W -product’ W ( T , Y ) , where T is a monoid, Y is a semilattice and there is a homomorphism from T into the inverse semigroup TI Y of isomorphisms between ideals of Y . Conversely, all such W -products are almost perfect. Since we also show that every restriction semigroup has an easily computed cover of this type, the combination yields a ‘McAlister-type’ theorem for all restriction semigroups. It is one of the theses of this work that almost perfection and perfection, the analogue of this definition for restriction monoids, are the appropriate settings for such a theorem. That these theorems do not reduce to a general theorem for inverse semigroups illustrates a second thesis of this work: that restriction (and, by extension, Ehresmann) semigroups have a rich theory that does not consist merely of generalizations of inverse semigroup theory. It is then with some ambivalence that we show that all the main results of this work easily generalize to encompass all proper restriction semigroups. The notation W ( T , Y ) recognizes that it is a far-reaching generalization of a long-known similarly titled construction. As a result, our work generalizes Szendrei's description of almost factorizable semigroups while at the same time including certain classes of free restriction semigroups in its realm." @default.
- W2962714354 created "2019-07-30" @default.
- W2962714354 creator A5071129835 @default.
- W2962714354 date "2016-01-01" @default.
- W2962714354 modified "2023-09-29" @default.
- W2962714354 title "Almost perfect restriction semigroups" @default.
- W2962714354 cites W1977156383 @default.
- W2962714354 cites W1985814675 @default.
- W2962714354 cites W2005010442 @default.
- W2962714354 cites W2020753765 @default.
- W2962714354 cites W2023241035 @default.
- W2962714354 cites W2033821174 @default.
- W2962714354 cites W2042615423 @default.
- W2962714354 cites W2071908342 @default.
- W2962714354 cites W2082682599 @default.
- W2962714354 cites W2084172755 @default.
- W2962714354 cites W2086506939 @default.
- W2962714354 cites W2098373556 @default.
- W2962714354 cites W2109816124 @default.
- W2962714354 cites W2146559773 @default.
- W2962714354 cites W2152183767 @default.
- W2962714354 cites W2962805027 @default.
- W2962714354 doi "https://doi.org/10.1016/j.jalgebra.2015.08.011" @default.
- W2962714354 hasPublicationYear "2016" @default.
- W2962714354 type Work @default.
- W2962714354 sameAs 2962714354 @default.
- W2962714354 citedByCount "18" @default.
- W2962714354 countsByYear W29627143542017 @default.
- W2962714354 countsByYear W29627143542018 @default.
- W2962714354 countsByYear W29627143542019 @default.
- W2962714354 countsByYear W29627143542020 @default.
- W2962714354 countsByYear W29627143542021 @default.
- W2962714354 countsByYear W29627143542022 @default.
- W2962714354 countsByYear W29627143542023 @default.
- W2962714354 crossrefType "journal-article" @default.
- W2962714354 hasAuthorship W2962714354A5071129835 @default.
- W2962714354 hasBestOaLocation W29627143542 @default.
- W2962714354 hasConcept C105245699 @default.
- W2962714354 hasConcept C118615104 @default.
- W2962714354 hasConcept C132170107 @default.
- W2962714354 hasConcept C134306372 @default.
- W2962714354 hasConcept C177148314 @default.
- W2962714354 hasConcept C180375552 @default.
- W2962714354 hasConcept C202444582 @default.
- W2962714354 hasConcept C207405024 @default.
- W2962714354 hasConcept C207467116 @default.
- W2962714354 hasConcept C2524010 @default.
- W2962714354 hasConcept C2778508345 @default.
- W2962714354 hasConcept C30397308 @default.
- W2962714354 hasConcept C33923547 @default.
- W2962714354 hasConcept C40417594 @default.
- W2962714354 hasConcept C4042151 @default.
- W2962714354 hasConcept C46149467 @default.
- W2962714354 hasConceptScore W2962714354C105245699 @default.
- W2962714354 hasConceptScore W2962714354C118615104 @default.
- W2962714354 hasConceptScore W2962714354C132170107 @default.
- W2962714354 hasConceptScore W2962714354C134306372 @default.
- W2962714354 hasConceptScore W2962714354C177148314 @default.
- W2962714354 hasConceptScore W2962714354C180375552 @default.
- W2962714354 hasConceptScore W2962714354C202444582 @default.
- W2962714354 hasConceptScore W2962714354C207405024 @default.
- W2962714354 hasConceptScore W2962714354C207467116 @default.
- W2962714354 hasConceptScore W2962714354C2524010 @default.
- W2962714354 hasConceptScore W2962714354C2778508345 @default.
- W2962714354 hasConceptScore W2962714354C30397308 @default.
- W2962714354 hasConceptScore W2962714354C33923547 @default.
- W2962714354 hasConceptScore W2962714354C40417594 @default.
- W2962714354 hasConceptScore W2962714354C4042151 @default.
- W2962714354 hasConceptScore W2962714354C46149467 @default.
- W2962714354 hasLocation W29627143541 @default.
- W2962714354 hasLocation W29627143542 @default.
- W2962714354 hasLocation W29627143543 @default.
- W2962714354 hasLocation W29627143544 @default.
- W2962714354 hasOpenAccess W2962714354 @default.
- W2962714354 hasPrimaryLocation W29627143541 @default.
- W2962714354 hasRelatedWork W1694801386 @default.
- W2962714354 hasRelatedWork W1964437463 @default.
- W2962714354 hasRelatedWork W1966402093 @default.
- W2962714354 hasRelatedWork W2000056233 @default.
- W2962714354 hasRelatedWork W2042932698 @default.
- W2962714354 hasRelatedWork W2085569002 @default.
- W2962714354 hasRelatedWork W2944426449 @default.
- W2962714354 hasRelatedWork W2962714354 @default.
- W2962714354 hasRelatedWork W3102376013 @default.
- W2962714354 hasRelatedWork W4300480479 @default.
- W2962714354 hasVolume "445" @default.
- W2962714354 isParatext "false" @default.
- W2962714354 isRetracted "false" @default.
- W2962714354 magId "2962714354" @default.
- W2962714354 workType "article" @default.