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pro vyhledávání: '"Lawson, M. V."'
Autor:
Lawson, M. V., Vdovina, A.
We generalize free monoids by defining $k$-monoids. These are nothing other than the one-vertex higher-rank graphs used in $C^{\ast}$-algebra theory with the cardinality requirement waived. The $1$-monoids are precisely the free monoids. We then take
Externí odkaz:
http://arxiv.org/abs/2403.18449
Autor:
Lawson, M. V., Vdovina, A.
We introduce what we call `generalized higher rank $k$-graphs' as a class of categories equipped with a notion of size. They extend not only the higher rank $k$-graphs, but also the Levi categories introduced by the first author as a categorical sett
Externí odkaz:
http://arxiv.org/abs/2104.09421
Autor:
Lawson, M. V., Resende, P.
Publikováno v:
J. Algebra 586 (2021), 718-755
We take advantage of the correspondence between pseudogroups and inverse quantal frames, and of the recent description of Morita equivalence for inverse quantal frames in terms of biprincipal bisheaves, to define Morita equivalence for pseudogroups a
Externí odkaz:
http://arxiv.org/abs/2011.14335
Autor:
Lawson, M. V., Wallis, A. R.
Self-similar group actions may be encoded by a class of left cancellative monoids called left Rees monoids, a result obtained by combining pioneering work by Perrot with later work by the first author. Left Rees monoids that are also right cancellati
Externí odkaz:
http://arxiv.org/abs/1304.6854
Paterson showed how to construct an etale groupoid from an inverse semigroup using ideas from functional analysis. This construction was later simplified by Lenz. We show that Lenz's construction can itself be further simplified by using filters: the
Externí odkaz:
http://arxiv.org/abs/1106.5198
Autor:
Lawson, M V
Inverse semigroups are the abstract counterparts of pseudogroups of transformations. The abstract counterparts of atlases in differential geometry are what Wagner termed `generalized heaps'. These are sets equipped with a ternary operation satisfying
Externí odkaz:
http://arxiv.org/abs/1104.2458
Autor:
Afara, B, Lawson, M V
We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup. This is done by taking the maximum inverse images of the regular Rees matrix semigroups over the inverse semigroup where the sandwich matrix satisfies
Externí odkaz:
http://arxiv.org/abs/1104.2460
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