Ranks and isomorphism theorems of semigroups of linear transformations with restricted range

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DC Field	Value	Language
dc.contributor.author	Kritsada Sangkhanan	en_US
dc.contributor.author	Jintana Sanwong	en_US
dc.date.accessioned	2018-09-05T04:32:27Z	-
dc.date.available	2018-09-05T04:32:27Z	-
dc.date.issued	2018-07-16	en_US
dc.identifier.issn	00371912	en_US
dc.identifier.other	2-s2.0-85049951974	en_US
dc.identifier.other	10.1007/s00233-018-9956-z	en_US
dc.identifier.uri	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85049951974&origin=inward	en_US
dc.identifier.uri	http://cmuir.cmu.ac.th/jspui/handle/6653943832/58798	-
dc.description.abstract	© 2018 Springer Science+Business Media, LLC, part of Springer Nature Let P(V) be the partial linear transformation semigroup of a vector space V under composition. Given a fixed subspace W of V, define the following subsemigroups of P(V): (Formula presented.)In this paper, we prove certain isomorphism theorems and compute the ranks of these three semigroups for any proper subspace W of V when V is a finite-dimensional vector space over a finite field. Gaussian binomial coefficients play an essential role in these computations.	en_US
dc.subject	Mathematics	en_US
dc.title	Ranks and isomorphism theorems of semigroups of linear transformations with restricted range	en_US
dc.type	Journal	en_US
article.title.sourcetitle	Semigroup Forum	en_US
article.stream.affiliations	Chiang Mai University	en_US
Appears in Collections:	CMUL: Journal Articles

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