Ranks and isomorphism theorems of semigroups of linear transformations with restricted range
© 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 isomorphi...
محفوظ في:
| المؤلفون الرئيسيون: | , |
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| التنسيق: | دورية |
| منشور في: |
2018
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| الموضوعات: | |
| الوصول للمادة أونلاين: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85049951974&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58798 |
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| الملخص: | © 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. |
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