scholarly journals On Dual Radicals and Ring Elements

Author(s):  
B. De La Rosa ◽  
R. Wiegandt
Keyword(s):  

AbstractIf a property P of ring elements satisfies conditions (a)-(d), then the largest homomorphically closed class having no non-zero P-element is a dual radical in the sense of Andrunakievič, and every dual radical can be obtained in this way. Also properties defined by polynomials are considered and as an application we get various characterizations of the Behrens radical.

Author(s):  
Richard Compton

This chapter examines polysynthetic word formation in Inuit (Eskimo-Aleut), using the presence and variable ordering of a closed class of adverbs within verbal complexes as a diagnostic device to evaluate the adequacy of different accounts of word formation. It is argued that a head movement account of Mirror Principle orders within Inuit words undergenerates with respect to the observed variation in adverb ordering, particularly if a fixed hierarchy of adverbial functional projections is assumed, as in Cinque (1999). Instead, it is shown that an analysis that employs a right-headed structure, XP-sized phasal words, and Ernst’s (2002) semantically based framework of adverb licensing better captures the observed variation.


2016 ◽  
Vol 2 (1) ◽  
Author(s):  
Peter Crosthwaite ◽  
Lavigne L.Y. Choy ◽  
Yeonsuk Bae

AbstractWe present an Integrated Contrastive Model of non-numerical quantificational NPs (NNQs, i.e. ‘some people’) produced by L1 English speakers and Mandarin and Korean L2 English learners. Learner corpus data was sourced from the ICNALE (Ishikawa, 2011, 2013) across four L2 proficiency levels. An average 10% of L2 NNQs were specific to L2 varieties, including noun number mismatches (*‘many child’), omitting obligatory quantifiers after adverbs (*‘almost people’), adding unnecessary particles (*‘all of people’) and non-L1 English-like quantifier/noun agreement (*‘many water’). Significantly fewer ‘openclass’ NNQs (e.g a number of people) are produced by L2 learners, preferring ‘closed-class’ single lexical quantifiers (following L1-like use). While such production is predictable via L1 transfer, Korean L2 English learners produced significantly more L2-like NNQs at each proficiency level, which was not entirely predictable under a transfer account. We thus consider whether positive transfer of other linguistic forms (i.e. definiteness marking) aids the learnability of other L2 forms (i.e. expression of quantification).


2021 ◽  
pp. 1-18
Author(s):  
Trevor K.M. DAY ◽  
Jed T. ELISON

Abstract A critical question in the study of language development is to understand lexical and syntactic acquisition, which play different roles in speech to the extent it would be natural to surmise they are acquired differently. As measured through the comprehension and production of closed-class words, syntactic ability emerges at roughly the 400-word mark. However, a significant proportion of the developmental work uses a coarse combination of function and content words on the MacArthur-Bates Communicative Development Inventory (MB-CDI). Using the MB-CDI Wordbank database, we implemented a factor analytic approach to distinguish between lexical and syntactic development from the Words and Sentences (WS) form that involves both function words and the explicit categorizations. Although the Words and Gestures (WG) form did not share the factor structure, common WG/WS elements recapitulate the expected age-related changes. This parsing of the MB-CDI may prove simple, yet fruitful in subsequent investigation.


1986 ◽  
Vol 9 (1) ◽  
pp. 55-82
Author(s):  
Beata Schmid

In this paper, I have shown that Joshi's (1982) framework of codeswitching constraints can largely be applied to Swedish-English code-switches. I feel qualified to conclude that Joshi's claims concerning the non-switchability of closed class items and matrix language and embedded languages are held up by the Swedish- English data. The need for corresponding categories proved to be less clear-cut than originally proposed by Woolford (1983) and others. It seems that optimal switching conditions are given if the categories, rules and metarules correspond in the two languages. Apparently, however, it is also possible to switch if the node admissibility conditions for the matrix language only are met, as was shown by code-switched sentences containing RPs. This requires that the speaker has a clear sense of which language is the host and which is embedded. Rules from the embedded language only are not acceptable. This calls for some sort of determination strategy by the parser. I found no evidence for determining Lm at any specific point in the sentence, except at the topmost S. Rather, the judgments by code-switchers that a sentence “comes from” one language seems to coincide with the fact that the resulting sentence is based on the rules from that language. Other than that, the matrix language is determined by the communicative context as a whole.The data involving RPs also seemed to indicate that RPs are not separate ategories, but are NPs, introduced by a “de-slashing” rule (Sells 1984). If they were separate categories, this would be evidence for there being no need for category equivalence. In this case, we would have to explicitly state all other cases which require category equivalence (the majority of cases), which is undesirable.


1997 ◽  
Vol 18 (3) ◽  
pp. 257-276 ◽  
Author(s):  
Shoji Azuma ◽  
Richard P. Meier

ABSTRACTOne of the most striking facts about exchange errors in speech is that open class items are exchanged, but closed class items are not. This article argues that a pattern analogous to that in speech errors also appears in intrasentential code-switching. Intrasentential code-switching is the alternating use of two languages in a sentence by bilinguals. Studies of the spontaneous conversation of bilinguals have supported the claim that open class items may be codeswitched, but closed class items may not. This claim was tested by two sentence repetition experiments, one with Japanese/English bilinguals and the other with Spanish/English bilinguals. The results show that the switching of closed class items caused significantly longer response times and more errors than the switching of open class items.


2003 ◽  
Vol 30 (1) ◽  
pp. 75-115 ◽  
Author(s):  
STEPHEN WILSON

Children learning English often omit grammatical words and morphemes, but there is still much debate over exactly why and in what contexts they do so. This study investigates the acquisition of three elements which instantiate the grammatical category of ‘inflection’ – copula be, auxiliary be and 3sg present agreement – in longitudinal transcripts from five children, whose ages range from 1;6 to 3;5 in the corpora examined. The aim is to determine whether inflection emerges as a unitary category, as predicted by some recent generative accounts, or whether it develops in a more piecemeal fashion, consistent with constructivist accounts. It is found that for each child the relative pace of development of the three morphemes studied varies significantly, suggesting that these morphemes do not depend on a unitary underlying category. Furthermore, early on, be is often used primarily with particular closed-class subjects, suggesting that forms such as he's and that's are learned as lexically specific constructions. These findings are argued to support the idea that children learn ‘inflection’ (and by hypothesis, other functional categories) not by filling in pre-specified slots in an innate structure, but by learning some specific constructions involving particular lexical items, before going on to gradually abstract more general construction types.


2002 ◽  
Vol 24 (2) ◽  
pp. 163-177 ◽  
Author(s):  
Christian Lang ◽  
Rüdiger Meiswinkel ◽  
Filip C. Filippou

Sign in / Sign up

Export Citation Format

Share Document