Cross-variety diachronic drifts and ephemeral regional contrasts

Author(s):  
Christian Mair
Keyword(s):  
1972 ◽  
Vol 13 (2) ◽  
pp. 159-166 ◽  
Author(s):  
John Cossey

The purpose of this paper is to provide a proof for a result announced in [3]. The result arose from a search for just-non-Cross varieties (recall that a Cross variety is one which can be generated by a finite group, and a just-non-Cross variety is a non-Cross variety every proper subvariety of which is Cross). For the motivation for this search, we refer the reader to [12]: for related results, see [1], [12], [13].


2007 ◽  
Vol 28 (2) ◽  
pp. 147-166 ◽  
Author(s):  
James A. Walker

This paper uses a multivariate analysis of variable agreement in existentials with plural reference in a corpus of Quebec English to determine the status of variable agreement as a vernacular universal. Excluding the frequent invariant form there’s from analysis, both structural and processing considerations are shown to operate. A separate multivariate analysis provides support for the hypothesis that there’s is a lexicalized form with its own set of constraints. Cross-variety comparison reveals little evidence of regional diversification and suggests instead that differences observed between studies reflect the distribution of data in each corpus. Similarities of language-internal constraints across studies provide support for variable agreement as a vernacular universal.


2002 ◽  
Vol 23 (2) ◽  
pp. 251-281 ◽  
Author(s):  
Sali A. Tagliamonte ◽  
Jennifer Smith

The source dialects in Britain are critical to disentangling the history and development of varieties in North America and elsewhere. One feature which appears to provide a critical diagnostic, particularly for situating dialects geographically in Britain, is negative (neg) vs. auxiliary (aux) contraction with be, have and will. Use of aux contraction is said to be more prevalent in northern varieties. Using the comparative method and quantitative methodology, this paper provides a quantitative analysis of this feature in eight British communities, two in the south, six in more northern areas. The comparative cross-variety approach provides a number of different lines of evidence which can then be used for testing similarities and differences across varieties. First, there is a dramatic difference between neg/aux contraction with be compared to the other auxiliaries that is consistent across all the communities. In every location be has aux contraction, and in each case it has higher rates of aux contraction than will or have. Second, all the Scots varieties have categorical aux contraction with be, just as would be expected from the historical record. However, there is a marked difference across the same varieties with will. Third, in the four locales where there is variation between neg and aux contraction the choice of form can be explained by the influence of the preceding phonological environment. In sum, neg/aux contraction is a poor diagnostic for distinguishing varieties of British English on broad geographic grounds. In contrast, at other levels of grammar (morphology and syntax) there are broad similarities across northern varieties. We conclude that the type of linguistic feature targeted for investigation plays a critical role in determining the similarities and differences amongst varieties.


1970 ◽  
Vol 3 (3) ◽  
pp. 313-323 ◽  
Author(s):  
J. M. Brady
Keyword(s):  

We prove a partial confirmation of Kovács and Newman's conjecture that a just-non-Cross variety is soluble if and only if it is in the following list: , , , , where p, q and r are any three distinct primes.


2019 ◽  
Vol 70 (4) ◽  
pp. 1157-1180
Author(s):  
Edmond W H Lee

Abstract A variety that contains continuum many subvarieties is said to be huge. A sufficient condition is established under which an involution monoid generates a variety that is huge by virtue of its lattice of subvarieties order-embedding the power set lattice of the positive integers. Based on this result, several examples of finite involution monoids with extreme varietal properties are exhibited. These examples—all first of their kinds—include the following: finite involution monoids that generate huge varieties but whose reduct monoids generate Cross varieties; two finite involution monoids sharing a common reduct monoid such that one generates a huge, non-finitely based variety while the other generates a Cross variety; and two finite involution monoids that generate Cross varieties, the join of which is huge.


1967 ◽  
Vol 7 (3) ◽  
pp. 356-374 ◽  
Author(s):  
R. G. Burns

Recently A. L. Šmel'kin [14] proved that a product variety1 is generated by a finite group if and only if is nilpotent, is abelian, and the exponents of and are coprime. Alternatively, by the theorem of Oates and Powell [13], we may say that a Cross variety is decomposable if and only if it is of the above form.


2009 ◽  
Vol 60 (2) ◽  
pp. 239-246 ◽  
Author(s):  
Edmond W. H. Lee
Keyword(s):  

2009 ◽  
Author(s):  
Plínio A. Barbosa ◽  
M. Céu Viana ◽  
Isabel Trancoso
Keyword(s):  

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