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15A03 Vector spaces, linear dependence, rank (41 articles)

• Bart, Harm; Ehrhardt, Torsten: Additive decomposition of matrices under rank conditions and zero pattern constraints. (English). Czechoslovak Mathematical Journal, vol. 72 (2022), issue 3, pp. 825-854
• Chajda, Ivan; Länger, Helmut: Orthogonality and complementation in the lattice of subspaces of a finite vector space. (English). Mathematica Bohemica, vol. 147 (2022), issue 2, pp. 141-153
• Güler, Nesrin; Eriş Büyükkaya, Melek: Some remarks on comparison of predictors in seemingly unrelated linear mixed models. (English). Applications of Mathematics, vol. 67 (2022), issue 4, pp. 525-542
• Street, Ross: Vector product and composition algebras in braided monoidal additive categories. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 60 (2019), issue 4, pp. 581-604
• Tachtsis, Eleftherios: On certain non-constructive properties of infinite-dimensional vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 59 (2018), issue 3, pp. 285-309
• Beasley, LeRoy B.; Jun, Young Bae; Song, Seok-Zun: Possible isolation number of a matrix over nonnegative integers. (English). Czechoslovak Mathematical Journal, vol. 68 (2018), issue 4, pp. 1055-1066
• Fallat, Shaun; Soltani, Abolghasem: Line graphs: their maximum nullities and zero forcing numbers. (English). Czechoslovak Mathematical Journal, vol. 66 (2016), issue 3, pp. 743-755
• Bienias, Marek; Głąb, Szymon; Rałowski, Robert; Żeberski, Szymon: Two point sets with additional properties. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 4, pp. 1019-1037
• Kurdachenko, L. A.; Sadovnichenko, A. V.; Subbotin, I. Ya.: Infinite dimensional linear groups with a large family of $G$-invariant subspaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 51 (2010), issue 4, pp. 551-558
• Hron, Karel: Analytical representation of ellipses in the Aitchison geometry and its application. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 48 (2009), issue 1, pp. 53-60
• Morillon, Marianne: Linear forms and axioms of choice. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 50 (2009), issue 3, pp. 421-431
• Song, Seok-Zun; Park, Kwon-Ryong: Extreme preservers of maximal column rank inequalities of matrix sums over semirings. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 3, pp. 693-703
• Hron, Karel: Remark on properties of bases for additive logratio transformations of compositional data. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 47 (2008), issue 1, pp. 77-82
• Szucs, J. M.: The order of a zero of a Wronskian and the theory of linear dependence. (English). Mathematica Slovaca, vol. 57 (2007), issue 6, pp. [515]-522
• Song, Seok-Zun; Kang, Kyung-Tae; Jun, Young-Bae: Invertible commutativity preservers of matrices over max algebra. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 4, pp. 1185-1192
• Song, Seok-Zun; Kang, Kyung-Tae; Jun, Young-Bae: Perimeter preserver of matrices over semifields. (English). Czechoslovak Mathematical Journal, vol. 56 (2006), issue 2, pp. 515-524
• Beran, Ladislav: A new simple approach to linear dependence. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 45 (2004), issue 1, pp. 29-32
• Beasley, LeRoy B.; Jun, Young-Bae; Song, Seok-Zun: Zero-term ranks of real matrices and their preservers. (English). Czechoslovak Mathematical Journal, vol. 54 (2004), issue 1, pp. 183-188
• Tian, Yongge: How to characterize commutativity equalities for Drazin inverses of matrices. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 191-199
• Skrzyński, Marcin: Irreducible algebraic sets of matrices with dominant restriction of the characteristic map. (English). Mathematica Bohemica, vol. 128 (2003), issue 1, pp. 91-101
• Száz, Árpád: Linear extensions of relations between vector spaces. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 44 (2003), issue 2, pp. 367-385
• Tian, Yongge; Styan, George P. H.: A new rank formula for idempotent matrices with applications. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 43 (2002), issue 2, pp. 379-384
• Skrzyński, Marcin: On the linear capacity of algebraic cones. (English). Mathematica Bohemica, vol. 127 (2002), issue 3, pp. 453-462
• Šimko, Juraj: Linear and $\Bbb R$-linear betweenness spaces. (English). Mathematica Slovaca, vol. 51 (2001), issue 4, pp. 365-370
• Nedoma, Josef: Support properties of a family of connected compact sets. (English). Mathematica Bohemica, vol. 126 (2001), issue 1, pp. 67-79
• Jukl, Marek: A remark on spaces over a special local ring. (English). Mathematica Bohemica, vol. 123 (1998), issue 3, pp. 243-247
• Jukl, Marek: Grassmann formula for certain type of modules. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 34 (1995), issue 1, pp. 69-74
• Boháč, Zdeněk: Transformation of spaces of vector functions of scalar argument. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 3 (1995), issue 1, pp. 7-(19)
• Pudlák, Pavel; Vavřín, Zdeněk: Computation of rigidity of order $\frac{n^2}r$ for one simple matrix. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 213-218
• Rohn, Jiří: Nonsingularity and $P$-matrices. (English). Aplikace matematiky, vol. 35 (1990), issue 3, pp. 215-219
• Pták, Vlastimil: Linear fractional transformations and companion matrices. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 2, pp. 279-284
• Poljak, Svatopluk: Maximum rank of a power of a matrix of a given pattern. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 29 (1988), issue 1, pp. 195
• Datta, K. B.: Hankel-matrix approach to invertibility of linear multivariable systems. (English). Kybernetika, vol. 20 (1984), issue 2, pp. 107-126
• Nešetřil, J.; Prömel, H. J.; Rödl, V.; Voigt, B.: Canonical ordering theorems, a first attempt. (English). In: Frolík, Zdeněk (ed.): Proceedings of the 10th Winter School on Abstract Analysis. Circolo Matematico di Palermo, Palermo, 1982. pp. [193]-197
• Meyer zu Hörste, Ulrich: Topological proper separation theorems. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 23 (1982), issue 3, pp. 475-487
• Fiedler, Miroslav: Minimal sets of vectors which generate $R_n$ with excess $k$. (English). Czechoslovak Mathematical Journal, vol. 29 (1979), issue 2, pp. 187-191
• Kojecká, Jitka: Lineare zweidimensionale Räume von stetigen Funktionen mit stetigen ersten Ableitungen. (German) [Linear two dimensional space of continuous functions with continuous derivative]. Sborník prací Přírodovědecké fakulty University Palackého v Olomouci. Matematika, vol. 14 (1974), issue 1, pp. 17-30
• Szynal, Dominik; Szynal, Jan: Note sur le rang d'une matrice. (French) [Remark on the rank of a matrix]. Aplikace matematiky, vol. 17 (1972), issue 1, pp. 33-38
• Gruber, Boris: On the shortest lattice vectors in a three-dimensional translational (Bravais) lattice. (English). Časopis pro pěstování matematiky, vol. 95 (1970), issue 3, pp. 231-239
• Hanák, Jan: Bemerkung zu Definition des Vektorraumes. (German) [A remark on definition of vector spaces]. Archivum Mathematicum, vol. 1 (1965), issue 2, pp. 99-100
• Zahradník, Karel: Transformace souřadnic pravoúhelných. (Czech) [Transforms of rectangular coordinates]. Časopis pro pěstování mathematiky a fysiky, vol. 6 (1877), issue 5, pp. 257-262