Li, Yuying; Xu, Xiaozhu; Zhang, Haifeng The further study of semimodules over commutative semirings. (English) Zbl 07529936 Commun. Stat., Theory Methods 49, No. 20, 4929-4950 (2020). MSC: 15A03 62-XX PDF BibTeX XML Cite \textit{Y. Li} et al., Commun. Stat., Theory Methods 49, No. 20, 4929--4950 (2020; Zbl 07529936) Full Text: DOI OpenURL
de la Puente, M. J. Quasi-Euclidean classification of alcoved convex polyhedra. (English) Zbl 1451.52007 Linear Multilinear Algebra 68, No. 10, 2110-2142 (2020). MSC: 52B10 52B12 15A80 14T90 PDF BibTeX XML Cite \textit{M. J. de la Puente}, Linear Multilinear Algebra 68, No. 10, 2110--2142 (2020; Zbl 1451.52007) Full Text: DOI arXiv OpenURL
Joy, Geena; Thomas, K. V. Lattice vector spaces and linear transformations. (English) Zbl 1491.15003 Asian-Eur. J. Math. 12, No. 2, Article ID 1950031, 12 p. (2019). MSC: 15A03 15A04 PDF BibTeX XML Cite \textit{G. Joy} and \textit{K. V. Thomas}, Asian-Eur. J. Math. 12, No. 2, Article ID 1950031, 12 p. (2019; Zbl 1491.15003) Full Text: DOI OpenURL
Shu, Qian-Yu; Wang, Xue-Ping The applications of the bideterminant of a matrix over commutative semirings. (English) Zbl 1373.15015 Linear Multilinear Algebra 65, No. 7, 1462-1478 (2017). Reviewer: Ke Ye (Chicago) MSC: 15A15 15A03 16Y60 PDF BibTeX XML Cite \textit{Q.-Y. Shu} and \textit{X.-P. Wang}, Linear Multilinear Algebra 65, No. 7, 1462--1478 (2017; Zbl 1373.15015) Full Text: DOI OpenURL
Krivulin, Nikolai Algebraic solution of tropical optimization problems via matrix sparsification with application to scheduling. (English) Zbl 1386.90174 J. Log. Algebr. Methods Program. 89, 150-170 (2017). MSC: 90C48 65F50 90B35 PDF BibTeX XML Cite \textit{N. Krivulin}, J. Log. Algebr. Methods Program. 89, 150--170 (2017; Zbl 1386.90174) Full Text: DOI arXiv OpenURL
Tan, Yi-Jia Inner products on semimodules. (English) Zbl 1342.15019 Linear Multilinear Algebra 64, No. 8, 1595-1616 (2016). MSC: 15A63 16Y60 15A03 PDF BibTeX XML Cite \textit{Y.-J. Tan}, Linear Multilinear Algebra 64, No. 8, 1595--1616 (2016; Zbl 1342.15019) Full Text: DOI OpenURL
Valverde-Albacete, Francisco J.; Peláez-Moreno, Carmen The spectra of irreducible matrices over completed idempotent semifields. (English) Zbl 1374.15047 Fuzzy Sets Syst. 271, 46-69 (2015). MSC: 15B33 15A18 06F25 PDF BibTeX XML Cite \textit{F. J. Valverde-Albacete} and \textit{C. Peláez-Moreno}, Fuzzy Sets Syst. 271, 46--69 (2015; Zbl 1374.15047) Full Text: DOI Link OpenURL
Wang, Xue-ping; Shu, Qian-yu The bideterminants of matrices over semirings. (English) Zbl 1331.15009 Soft Comput. 18, No. 4, 729-742 (2014). MSC: 15A15 15B33 PDF BibTeX XML Cite \textit{X.-p. Wang} and \textit{Q.-y. Shu}, Soft Comput. 18, No. 4, 729--742 (2014; Zbl 1331.15009) Full Text: DOI OpenURL
Shu, Qian-yu; Wang, Xue-ping Dimensional formulas of semilinear subspaces over semirings. (English) Zbl 1304.15005 Linear Multilinear Algebra 62, No. 11, 1475-1490 (2014). MSC: 15A03 16Y60 PDF BibTeX XML Cite \textit{Q.-y. Shu} and \textit{X.-p. Wang}, Linear Multilinear Algebra 62, No. 11, 1475--1490 (2014; Zbl 1304.15005) Full Text: DOI OpenURL
de la Puente, María Jesús Distances on the tropical line determined by two points. (English) Zbl 1321.14050 Kybernetika 50, No. 3, 408-435 (2014). Reviewer: Péter E. Frenkel (Budapest) MSC: 14T05 15A80 PDF BibTeX XML Cite \textit{M. J. de la Puente}, Kybernetika 50, No. 3, 408--435 (2014; Zbl 1321.14050) Full Text: arXiv Link OpenURL
Tan, Yi-Jia Inner products on semimodules over a commutative semiring. (English) Zbl 1305.16038 Linear Algebra Appl. 460, 151-173 (2014). MSC: 16Y60 15A03 15A24 PDF BibTeX XML Cite \textit{Y.-J. Tan}, Linear Algebra Appl. 460, 151--173 (2014; Zbl 1305.16038) Full Text: DOI OpenURL
Shu, Qian-yu; Wang, Xue-ping The cardinality of bases in semilinear spaces over commutative semirings. (English) Zbl 1297.15003 Linear Algebra Appl. 459, 83-100 (2014). MSC: 15A03 16Y60 PDF BibTeX XML Cite \textit{Q.-y. Shu} and \textit{X.-p. Wang}, Linear Algebra Appl. 459, 83--100 (2014; Zbl 1297.15003) Full Text: DOI OpenURL
Tan, Yi-Jia Bases in semimodules over commutative semirings. (English) Zbl 1282.15005 Linear Algebra Appl. 443, 139-152 (2014). MSC: 15A03 16Y60 PDF BibTeX XML Cite \textit{Y.-J. Tan}, Linear Algebra Appl. 443, 139--152 (2014; Zbl 1282.15005) Full Text: DOI OpenURL
Wang, Xue-ping; Zhao, Shan Solution sets of finite fuzzy relation equations with sup-inf composition over bounded Brouwerian lattices. (English) Zbl 1284.03254 Inf. Sci. 234, 80-85 (2013). MSC: 03E72 PDF BibTeX XML Cite \textit{X.-p. Wang} and \textit{S. Zhao}, Inf. Sci. 234, 80--85 (2013; Zbl 1284.03254) Full Text: DOI OpenURL
de la Puente, María On tropical Kleene star matrices and alcoved polytopes. (English) Zbl 1297.15029 Kybernetika 49, No. 6, 897-910 (2013). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15A80 52C07 15A60 PDF BibTeX XML Cite \textit{M. de la Puente}, Kybernetika 49, No. 6, 897--910 (2013; Zbl 1297.15029) Full Text: arXiv Link OpenURL
Kanan, Asmaa M.; Petrović, Zoran Z. Note on cardinality of bases in semilinear spaces over zerosumfree semirings. (English) Zbl 1283.15003 Linear Algebra Appl. 439, No. 10, 2795-2799 (2013). MSC: 15A03 16Y60 PDF BibTeX XML Cite \textit{A. M. Kanan} and \textit{Z. Z. Petrović}, Linear Algebra Appl. 439, No. 10, 2795--2799 (2013; Zbl 1283.15003) Full Text: DOI OpenURL
Johnson, Marianne; Kambites, Mark Green’s \(\mathcal J\)-order and the rank of tropical matrices. (English) Zbl 1277.20074 J. Pure Appl. Algebra 217, No. 2, 280-292 (2013). Reviewer: Mirela Ştefănescu (Constanţa) MSC: 20M20 15A80 15A03 16Y60 52B20 14T05 PDF BibTeX XML Cite \textit{M. Johnson} and \textit{M. Kambites}, J. Pure Appl. Algebra 217, No. 2, 280--292 (2013; Zbl 1277.20074) Full Text: DOI arXiv OpenURL
Butkovič, Peter; Maccaig, Marie On integer eigenvectors and subeigenvectors in the max-plus algebra. (English) Zbl 1267.15023 Linear Algebra Appl. 438, No. 8, 3408-3424 (2013). Reviewer: John D. Dixon (Ottawa) MSC: 15A80 15A18 05C50 05C20 PDF BibTeX XML Cite \textit{P. Butkovič} and \textit{M. Maccaig}, Linear Algebra Appl. 438, No. 8, 3408--3424 (2013; Zbl 1267.15023) Full Text: DOI OpenURL
Shu, Qian-Yu; Wang, Xue-Ping Standard orthogonal vectors in semilinear spaces and their applications. (English) Zbl 1257.15003 Linear Algebra Appl. 437, No. 11, 2733-2754 (2012). Reviewer: John D. Dixon (Ottawa) MSC: 15A03 16Y60 15A06 PDF BibTeX XML Cite \textit{Q.-Y. Shu} and \textit{X.-P. Wang}, Linear Algebra Appl. 437, No. 11, 2733--2754 (2012; Zbl 1257.15003) Full Text: DOI OpenURL
Zhao, Shan; Wang, Xue-Ping Bases in semilinear spaces over join-semirings. (English) Zbl 1341.15003 Fuzzy Sets Syst. 182, No. 1, 93-100 (2011). MSC: 15A03 16Y60 PDF BibTeX XML Cite \textit{S. Zhao} and \textit{X.-P. Wang}, Fuzzy Sets Syst. 182, No. 1, 93--100 (2011; Zbl 1341.15003) Full Text: DOI OpenURL
Shu, Qian-yu; Wang, Xue-ping Bases in semilinear spaces over zerosumfree semirings. (English) Zbl 1239.15002 Linear Algebra Appl. 435, No. 11, 2681-2692 (2011). Reviewer: B. S. Kiranagi (Mysore) MSC: 15A03 16Y60 PDF BibTeX XML Cite \textit{Q.-y. Shu} and \textit{X.-p. Wang}, Linear Algebra Appl. 435, No. 11, 2681--2692 (2011; Zbl 1239.15002) Full Text: DOI OpenURL
de la Puente, M. J. Tropical linear maps on the plane. (English) Zbl 1221.15008 Linear Algebra Appl. 435, No. 7, 1681-1710 (2011). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A04 15A21 15B33 12K99 PDF BibTeX XML Cite \textit{M. J. de la Puente}, Linear Algebra Appl. 435, No. 7, 1681--1710 (2011; Zbl 1221.15008) Full Text: DOI arXiv OpenURL
Duan, Junsheng; Guo, Aiping; Zhao, Fenxia; Xu, Li; Tang, Wenguang Standard bases of a vector space over a linearly ordered incline. (English) Zbl 1231.15001 Commun. Algebra 39, No. 4, 1404-1412 (2011). Reviewer: Michal Zajac (Bratislava) MSC: 15A03 15B33 06F25 16Y60 PDF BibTeX XML Cite \textit{J. Duan} et al., Commun. Algebra 39, No. 4, 1404--1412 (2011; Zbl 1231.15001) Full Text: DOI OpenURL
Zhao, Shan; Wang, Xue-ping Invertible matrices and semilinear spaces over commutative semirings. (English) Zbl 1207.15009 Inf. Sci. 180, No. 24, 5115-5124 (2010). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15A09 16Y60 15B33 15A03 PDF BibTeX XML Cite \textit{S. Zhao} and \textit{X.-p. Wang}, Inf. Sci. 180, No. 24, 5115--5124 (2010; Zbl 1207.15009) Full Text: DOI OpenURL
Guterman, Alexander E. Matrix invariants over semirings. (English) Zbl 1214.15012 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 3-33 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 15B33 15-02 15A45 15A03 16Y60 15A15 PDF BibTeX XML Cite \textit{A. E. Guterman}, Handb. Algebra 6, 3--33 (2009; Zbl 1214.15012) Full Text: DOI OpenURL
Ansola, M.; De La Puente, M. J. A note on tropical triangles in the plane. (English) Zbl 1185.52022 Acta Math. Sin., Engl. Ser. 25, No. 11, 1775-1786 (2009). MSC: 52C35 52C20 15A39 12K99 PDF BibTeX XML Cite \textit{M. Ansola} and \textit{M. J. De La Puente}, Acta Math. Sin., Engl. Ser. 25, No. 11, 1775--1786 (2009; Zbl 1185.52022) Full Text: DOI arXiv Link OpenURL
Izhakian, Zur Tropical arithmetic and matrix algebra. (English) Zbl 1165.15017 Commun. Algebra 37, No. 4, 1445-1468 (2009). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 15B33 15A09 16Y60 20M18 51M20 PDF BibTeX XML Cite \textit{Z. Izhakian}, Commun. Algebra 37, No. 4, 1445--1468 (2009; Zbl 1165.15017) Full Text: DOI arXiv OpenURL
Butkovič, Peter; Schneider, Hans; Sergeev, Sergeĭ Generators, extremals and bases of max cones. (English) Zbl 1119.15018 Linear Algebra Appl. 421, No. 2-3, 394-406 (2007). Reviewer: Grosio Stanilov (Sofia) MSC: 15B48 15A30 PDF BibTeX XML Cite \textit{P. Butkovič} et al., Linear Algebra Appl. 421, No. 2--3, 394--406 (2007; Zbl 1119.15018) Full Text: DOI arXiv OpenURL
Gaubert, Stéphane; Katz, Ricardo D. The Minkowski theorem for max-plus convex sets. (English) Zbl 1110.52002 Linear Algebra Appl. 421, No. 2-3, 356-369 (2007). MSC: 52A01 16Y60 46A55 PDF BibTeX XML Cite \textit{S. Gaubert} and \textit{R. D. Katz}, Linear Algebra Appl. 421, No. 2--3, 356--369 (2007; Zbl 1110.52002) Full Text: DOI arXiv OpenURL
Sergeev, Sergeĭ Max-plus definite matrix closures and their eigenspaces. (English) Zbl 1131.15009 Linear Algebra Appl. 421, No. 2-3, 182-201 (2007). Reviewer: George F. Nassopoulos (Athens) MSC: 15A18 06F15 15A30 15B33 PDF BibTeX XML Cite \textit{S. Sergeev}, Linear Algebra Appl. 421, No. 2--3, 182--201 (2007; Zbl 1131.15009) Full Text: DOI arXiv OpenURL
Di Nola, Antonio; Lettieri, Ada; Perfilieva, Irina; Novák, Vilém Algebraic analysis of fuzzy systems. (English) Zbl 1110.93012 Fuzzy Sets Syst. 158, No. 1, 1-22 (2007). MSC: 93B25 93C42 PDF BibTeX XML Cite \textit{A. Di Nola} et al., Fuzzy Sets Syst. 158, No. 1, 1--22 (2007; Zbl 1110.93012) Full Text: DOI OpenURL