Lattice vector spaces and linear transformations
2019 ◽
Vol 12
(02)
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pp. 1950031
Keyword(s):
This paper introduces the concept of lattice vector space and establishes many important results. Also, this paper deals with linear transformations on lattice vector spaces and discusses their elementary properties. We prove that every finite dimensional lattice vector space is isomorphic to [Formula: see text] and show that the set of all columns (or the set of all rows) of an invertible matrix over [Formula: see text] is a basis for [Formula: see text].
1998 ◽
Vol 57
(1)
◽
pp. 59-71
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2016 ◽
Vol 101
(2)
◽
pp. 277-287
Keyword(s):
Keyword(s):
2017 ◽
Vol 103
(3)
◽
pp. 402-419
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1983 ◽
Vol 6
(3)
◽
pp. 487-501
Keyword(s):
1985 ◽
Vol 28
(3)
◽
pp. 319-331
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1985 ◽
Vol 98
◽
pp. 139-156
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1993 ◽
Vol 45
(2)
◽
pp. 357-368
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1985 ◽
Vol 100
(1-2)
◽
pp. 123-138
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