Johnson, F. E. A. Swan modules over Laurent polynomials. (English) Zbl 07822915 Ill. J. Math. 68, No. 1, 45-58 (2024). MSC: 19A13 19B14 18G80 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, Ill. J. Math. 68, No. 1, 45--58 (2024; Zbl 07822915) Full Text: DOI Link
Syed, Tariq Symplectic orbits of unimodular rows. (English) Zbl 07818606 J. Algebra 646, 478-493 (2024). MSC: 19A13 13C10 19G38 14F42 PDFBibTeX XMLCite \textit{T. Syed}, J. Algebra 646, 478--493 (2024; Zbl 07818606) Full Text: DOI arXiv
Banerjee, Sourjya Subrings of polynomial rings and the conjectures of Eisenbud and Evans. (English) Zbl 07787766 J. Algebra 641, 85-104 (2024). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A15 13C10 19A13 PDFBibTeX XMLCite \textit{S. Banerjee}, J. Algebra 641, 85--104 (2024; Zbl 07787766) Full Text: DOI arXiv
Lerbet, Samuel Motivic stable cohomotopy and unimodular rows. (English) Zbl 07781645 Adv. Math. 436, Article ID 109415, 64 p. (2024). MSC: 14F42 19A13 19G38 PDFBibTeX XMLCite \textit{S. Lerbet}, Adv. Math. 436, Article ID 109415, 64 p. (2024; Zbl 07781645) Full Text: DOI arXiv
Bhaumik, Chandan; Sarwar, Husney Parvez Existence of unimodular element in a projective module over symbolic Rees algebras. (English) Zbl 07794723 Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 47, 9 p. (2023). MSC: 13C10 19A13 PDFBibTeX XMLCite \textit{C. Bhaumik} and \textit{H. P. Sarwar}, Proc. Indian Acad. Sci., Math. Sci. 133, No. 2, Paper No. 47, 9 p. (2023; Zbl 07794723) Full Text: DOI arXiv
Tarizadeh, Abolfazl Upper topology and its relation with the projective modules. (English) Zbl 1527.14003 Boll. Unione Mat. Ital. 16, No. 3, 479-486 (2023). Reviewer: Chen Sheng (Harbin) MSC: 14A05 13C10 19A13 03E10 13A15 PDFBibTeX XMLCite \textit{A. Tarizadeh}, Boll. Unione Mat. Ital. 16, No. 3, 479--486 (2023; Zbl 1527.14003) Full Text: DOI arXiv
Keshari, Manoj K.; Tikader, Soumi On a question of Moshe Roitman and Euler class of stably free module. (English) Zbl 1506.13014 J. Algebra 614, 848-866 (2023). Reviewer: Moshe Roitman (Haifa) MSC: 13C10 13B25 19A13 PDFBibTeX XMLCite \textit{M. K. Keshari} and \textit{S. Tikader}, J. Algebra 614, 848--866 (2023; Zbl 1506.13014) Full Text: DOI arXiv
Mnif, Abdessalem; Amidou, Morou Unimodular rows over Laurent polynomial rings. (English) Zbl 07655772 Czech. Math. J. 72, No. 4, 927-934 (2022). MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{A. Mnif} and \textit{M. Amidou}, Czech. Math. J. 72, No. 4, 927--934 (2022; Zbl 07655772) Full Text: DOI
Tarizadeh, Abolfazl Some results on pure ideals and trace ideals of projective modules. (English) Zbl 1494.14002 Acta Math. Vietnam. 47, No. 2, 475-481 (2022). Reviewer: Sourjya Banerjee (Kolkata) MSC: 14A05 13C10 19A13 13C11 13A15 PDFBibTeX XMLCite \textit{A. Tarizadeh}, Acta Math. Vietnam. 47, No. 2, 475--481 (2022; Zbl 1494.14002) Full Text: DOI arXiv
Asok, Aravind; Fasel, Jean [Das, Mrinal Kanti] Euler class groups and motivic stable cohomotopy (with an appendix by Mrinal Kanti Das). (English) Zbl 1487.14053 J. Eur. Math. Soc. (JEMS) 24, No. 8, 2775-2822 (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 14F42 13C10 19A13 55Q55 PDFBibTeX XMLCite \textit{A. Asok} and \textit{J. Fasel}, J. Eur. Math. Soc. (JEMS) 24, No. 8, 2775--2822 (2022; Zbl 1487.14053) Full Text: DOI
Syed, Tariq Cancellation of vector bundles of rank 3 with trivial Chern classes on smooth affine fourfolds. (English) Zbl 1495.19001 J. Pure Appl. Algebra 226, No. 9, Article ID 107038, 20 p. (2022). Reviewer: Sourjya Banerjee (Kolkata) MSC: 19A13 13C10 19G38 14F42 PDFBibTeX XMLCite \textit{T. Syed}, J. Pure Appl. Algebra 226, No. 9, Article ID 107038, 20 p. (2022; Zbl 1495.19001) Full Text: DOI arXiv
Sarwar, Husney Parvez \(K_0\)-stability over monoid algebras. (English) Zbl 07496939 Ann. \(K\)-Theory 6, No. 4, 629-649 (2021). MSC: 19A13 13C10 13D15 PDFBibTeX XMLCite \textit{H. P. Sarwar}, Ann. \(K\)-Theory 6, No. 4, 629--649 (2021; Zbl 07496939) Full Text: DOI
Kanti Das, Mrinal A criterion for splitting of a projective module in terms of its generic sections. (English) Zbl 1487.13021 Int. Math. Res. Not. 2021, No. 13, 10073-10099 (2021). MSC: 13C10 19A13 PDFBibTeX XMLCite \textit{M. Kanti Das}, Int. Math. Res. Not. 2021, No. 13, 10073--10099 (2021; Zbl 1487.13021) Full Text: DOI
Chintala, Vineeth Two lives: compositions of unimodular rows. (English) Zbl 1470.13017 Adv. Math. 389, Article ID 107917, 26 p. (2021). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 19B14 20G35 15A66 17A75 19A13 PDFBibTeX XMLCite \textit{V. Chintala}, Adv. Math. 389, Article ID 107917, 26 p. (2021; Zbl 1470.13017) Full Text: DOI arXiv
Sheu, Albert Jeu-Liang Vector bundles over multipullback quantum complex projective spaces. (English) Zbl 1469.19006 J. Noncommut. Geom. 15, No. 1, 305-345 (2021). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K14 46L80 46L85 47B35 81R60 19A13 PDFBibTeX XMLCite \textit{A. J. L. Sheu}, J. Noncommut. Geom. 15, No. 1, 305--345 (2021; Zbl 1469.19006) Full Text: DOI arXiv
Evans, J. D. P. Syzygy modules for dihedral groups. (English) Zbl 1492.16004 Commun. Algebra 49, No. 6, 2606-2622 (2021). MSC: 16E05 20C10 19A13 PDFBibTeX XMLCite \textit{J. D. P. Evans}, Commun. Algebra 49, No. 6, 2606--2622 (2021; Zbl 1492.16004) Full Text: DOI
Xia, Guoli; Zhou, Yiqiang Annihilator-stability and two questions of Nicholson. (English) Zbl 1480.16069 Glasg. Math. J. 63, No. 2, 258-265 (2021). MSC: 16U99 16E50 19A13 PDFBibTeX XMLCite \textit{G. Xia} and \textit{Y. Zhou}, Glasg. Math. J. 63, No. 2, 258--265 (2021; Zbl 1480.16069) Full Text: DOI
Syed, Tariq The cancellation of projective modules of rank 2 with a trivial determinant. (English) Zbl 1467.19001 Algebra Number Theory 15, No. 1, 109-140 (2021). MSC: 19A13 13C10 14F42 19G38 PDFBibTeX XMLCite \textit{T. Syed}, Algebra Number Theory 15, No. 1, 109--140 (2021; Zbl 1467.19001) Full Text: DOI arXiv
Tarizadeh, A. On the projectivity of finitely generated flat modules. (English) Zbl 1453.13027 Extr. Math. 35, No. 1, 55-67 (2020). Reviewer: François Couchot (Caen) MSC: 13C10 19A13 13C11 13E99 PDFBibTeX XMLCite \textit{A. Tarizadeh}, Extr. Math. 35, No. 1, 55--67 (2020; Zbl 1453.13027) Full Text: arXiv
Tarizadeh, Abolfazl Notes on finitely generated flat modules. (English) Zbl 1440.13047 Bull. Korean Math. Soc. 57, No. 2, 419-427 (2020). MSC: 13C10 19A13 13C11 13E99 PDFBibTeX XMLCite \textit{A. Tarizadeh}, Bull. Korean Math. Soc. 57, No. 2, 419--427 (2020; Zbl 1440.13047) Full Text: DOI arXiv
Bak, Anthony; Garge, Anuradha S. Global actions and vector \(K\)-theory. (English) Zbl 1441.19009 Forum Math. Sigma 8, Paper No. e4, 29 p. (2020). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D99 19C99 19B14 19A13 19B10 PDFBibTeX XMLCite \textit{A. Bak} and \textit{A. S. Garge}, Forum Math. Sigma 8, Paper No. e4, 29 p. (2020; Zbl 1441.19009) Full Text: DOI
Syed, Tariq A generalized Vaserstein symbol. (English) Zbl 1445.13013 Ann. \(K\)-Theory 4, No. 4, 671-706 (2019). Reviewer: Jason Polak (Montréal) MSC: 13C10 14F42 19A13 19G38 PDFBibTeX XMLCite \textit{T. Syed}, Ann. \(K\)-Theory 4, No. 4, 671--706 (2019; Zbl 1445.13013) Full Text: DOI arXiv
Gallego, Claudia; Solotar, Andrea Stable rank of down-up algebras. (English) Zbl 1447.16002 J. Algebra 526, 266-282 (2019). Reviewer: Jebrel M. Habeb (Irbid) MSC: 16D40 19A13 19B10 16P60 PDFBibTeX XMLCite \textit{C. Gallego} and \textit{A. Solotar}, J. Algebra 526, 266--282 (2019; Zbl 1447.16002) Full Text: DOI arXiv Link
Rao, Ravi A.; Sarwar, Husney Parvez Stability results for projective modules over Rees algebras. (English) Zbl 1401.13029 J. Pure Appl. Algebra 223, No. 1, 1-9 (2019). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13C10 19A13 13A30 PDFBibTeX XMLCite \textit{R. A. Rao} and \textit{H. P. Sarwar}, J. Pure Appl. Algebra 223, No. 1, 1--9 (2019; Zbl 1401.13029) Full Text: DOI arXiv
Evans, J. D. P. Corrigendum: “Stably free modules over \(\mathbb{Z}[(C_{p}\rtimes C_{q})\times C_{\infty}^{n}]\) are free”. (English) Zbl 1392.19001 Mathematika 64, No. 2, 497-501 (2018). MSC: 19A13 16S34 20C07 PDFBibTeX XMLCite \textit{J. D. P. Evans}, Mathematika 64, No. 2, 497--501 (2018; Zbl 1392.19001) Full Text: DOI
Yurikusa, Toshiya Wide subcategories are semistable. (English) Zbl 1420.16009 Doc. Math. 23, 35-47 (2018). MSC: 16G10 18E30 18E40 19A13 PDFBibTeX XMLCite \textit{T. Yurikusa}, Doc. Math. 23, 35--47 (2018; Zbl 1420.16009) Full Text: DOI
Nicholson, W. K. Corrigendum to: “Annihilator-stability and unique generation”. (English) Zbl 1410.16035 J. Pure Appl. Algebra 222, No. 10, 3334-3335 (2018). MSC: 16U60 16E50 16L30 19A13 PDFBibTeX XMLCite \textit{W. K. Nicholson}, J. Pure Appl. Algebra 222, No. 10, 3334--3335 (2018; Zbl 1410.16035) Full Text: DOI
Das, Mrinal Kanti; Tikader, Soumi; Zinna, Md. Ali Orbit spaces of unimodular rows over smooth real affine algebras. (English) Zbl 1388.13027 Invent. Math. 212, No. 1, 133-159 (2018). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 13C10 19A13 19A15 14C25 PDFBibTeX XMLCite \textit{M. K. Das} et al., Invent. Math. 212, No. 1, 133--159 (2018; Zbl 1388.13027) Full Text: DOI
Barhoumi, Sami Computing syzygies over \(R[X_1^{\pm 1}, \dots, X_1^{\pm 1}]\), \(R\) a valuation ring. (English) Zbl 1499.13040 JP J. Algebra Number Theory Appl. 39, No. 5, 661-670 (2017). MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{S. Barhoumi}, JP J. Algebra Number Theory Appl. 39, No. 5, 661--670 (2017; Zbl 1499.13040) Full Text: DOI
Johnson, F. E. A. Rings of polynomials with Artinian coefficients. (English) Zbl 1483.16006 Proc. Edinb. Math. Soc., II. Ser. 60, No. 4, 947-954 (2017). MSC: 16D40 19A13 20C07 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, Proc. Edinb. Math. Soc., II. Ser. 60, No. 4, 947--954 (2017; Zbl 1483.16006) Full Text: DOI
Evans, J. D. P. Stably free modules over \(\mathbb{Z}[(C_{p}\rtimes C_{q})\times C_{\infty}^{n}]\) are free. (English) Zbl 1386.19002 Mathematika 63, No. 2, 451-461 (2017); corrigendum ibid. 64, No. 2, 497-501 (2018). Reviewer: Andrei Marcus (Cluj-Napoca) MSC: 19A13 16S34 20C07 PDFBibTeX XMLCite \textit{J. D. P. Evans}, Mathematika 63, No. 2, 451--461 (2017; Zbl 1386.19002) Full Text: DOI
Keshari, Manoj K.; Zinna, Md. Ali Existence of unimodular elements in a projective module. (English) Zbl 1378.13006 J. Pure Appl. Algebra 221, No. 11, 2805-2814 (2017). Reviewer: Jebrel M. Habeb (Irbid) MSC: 13C10 19A13 PDFBibTeX XMLCite \textit{M. K. Keshari} and \textit{Md. A. Zinna}, J. Pure Appl. Algebra 221, No. 11, 2805--2814 (2017; Zbl 1378.13006) Full Text: DOI arXiv
Nicholson, W. K. Annihilator-stability and unique generation. (English) Zbl 1386.16019 J. Pure Appl. Algebra 221, No. 10, 2557-2572 (2017); corrigendum ibid. 222, No. 10, 3334-3335 (2018). MSC: 16U60 16E50 16L30 19A13 PDFBibTeX XMLCite \textit{W. K. Nicholson}, J. Pure Appl. Algebra 221, No. 10, 2557--2572 (2017; Zbl 1386.16019) Full Text: DOI
Sarwar, Husney Parvez Some results about projective modules over monoid algebras. (English) Zbl 1348.13017 Commun. Algebra 44, No. 5, 2256-2263 (2016). Reviewer: Chen Sheng (Harbin) MSC: 13C10 13D15 19A13 PDFBibTeX XMLCite \textit{H. P. Sarwar}, Commun. Algebra 44, No. 5, 2256--2263 (2016; Zbl 1348.13017) Full Text: DOI
Rao, Ravi A.; Jose, Selby The orbit set and the orthogonal quotient. (English) Zbl 1335.13009 J. Algebra Appl. 15, No. 6, Article ID 1650101, 14 p. (2016). MSC: 13C10 15A63 19A13 19B14 PDFBibTeX XMLCite \textit{R. A. Rao} and \textit{S. Jose}, J. Algebra Appl. 15, No. 6, Article ID 1650101, 14 p. (2016; Zbl 1335.13009) Full Text: DOI
Chen, Huanyin Strong separativity over regular rings. (English) Zbl 1330.16002 Algebra Colloq. 22, No. 3, 413-420 (2015). MSC: 16D70 16D40 16E50 19A13 19B10 16U60 PDFBibTeX XMLCite \textit{H. Chen}, Algebra Colloq. 22, No. 3, 413--420 (2015; Zbl 1330.16002) Full Text: DOI
Chattopadhyay, Pratyusha; Rao, Ravi A. Equality of linear and symplectic orbits. (English) Zbl 1334.13006 J. Pure Appl. Algebra 219, No. 12, 5363-5386 (2015). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13C10 13H05 15A63 19A13 19B10 19B14 PDFBibTeX XMLCite \textit{P. Chattopadhyay} and \textit{R. A. Rao}, J. Pure Appl. Algebra 219, No. 12, 5363--5386 (2015; Zbl 1334.13006) Full Text: DOI arXiv
Asok, Aravind; Fasel, Jean Splitting vector bundles outside the stable range and \(\mathbb A^1\) – homotopy sheaves of punctured affine spaces. (English) Zbl 1329.14045 J. Am. Math. Soc. 28, No. 4, 1031-1062 (2015). Reviewer: Tom Bachmann (München) MSC: 14F42 55S35 13C10 19A13 19D45 PDFBibTeX XMLCite \textit{A. Asok} and \textit{J. Fasel}, J. Am. Math. Soc. 28, No. 4, 1031--1062 (2015; Zbl 1329.14045) Full Text: DOI arXiv
Das, Mrinal Kanti; Ali Zinna, Md. “Strong” Euler class of a stably free module of odd rank. (English) Zbl 1314.13018 J. Algebra 432, 185-204 (2015). MSC: 13C10 19A13 19A15 14C25 PDFBibTeX XMLCite \textit{M. K. Das} and \textit{Md. Ali Zinna}, J. Algebra 432, 185--204 (2015; Zbl 1314.13018) Full Text: DOI
Fasel, J. Mennicke symbols, \(K\)-cohomology and a Bass-Kubota theorem. (English) Zbl 1330.19003 Trans. Am. Math. Soc. 367, No. 1, 191-208 (2015). Reviewer: Sergey Sinchuk (Sertolovo) MSC: 19E20 13C10 14C25 14C35 19A13 19B14 19G38 PDFBibTeX XMLCite \textit{J. Fasel}, Trans. Am. Math. Soc. 367, No. 1, 191--208 (2015; Zbl 1330.19003) Full Text: DOI arXiv
Pola, Emmanuel; Yengui, Ihsen Gröbner rings. (English) Zbl 1349.13024 Acta Sci. Math. 80, No. 3-4, 363-372 (2014). MSC: 13C10 19A13 14Q20 03F65 13P10 PDFBibTeX XMLCite \textit{E. Pola} and \textit{I. Yengui}, Acta Sci. Math. 80, No. 3--4, 363--372 (2014; Zbl 1349.13024) Full Text: DOI
Asok, Aravind; Fasel, Jean A cohomological classification of vector bundles on smooth affine threefolds. (English) Zbl 1314.14044 Duke Math. J. 163, No. 14, 2561-2601 (2014). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F42 55S35 19D45 13C10 19A13 PDFBibTeX XMLCite \textit{A. Asok} and \textit{J. Fasel}, Duke Math. J. 163, No. 14, 2561--2601 (2014; Zbl 1314.14044) Full Text: DOI arXiv
Eckstein, Michał On projections in the noncommutative 2-torus algebra. (English) Zbl 1298.46062 SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 029, 14 p. (2014). MSC: 46L87 46L80 19A13 19K14 PDFBibTeX XMLCite \textit{M. Eckstein}, SIGMA, Symmetry Integrability Geom. Methods Appl. 10, Paper 029, 14 p. (2014; Zbl 1298.46062) Full Text: DOI arXiv EMIS
Johnson, F. E. A. Stably free cancellation for abelian group rings. (English) Zbl 1339.16029 Arch. Math. 102, No. 1, 7-10 (2014). MSC: 16S34 16D40 20C07 19A13 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, Arch. Math. 102, No. 1, 7--10 (2014; Zbl 1339.16029) Full Text: DOI
Yengui, Ihsen The Gröbner ring conjecture in the lexicographic order case. (English) Zbl 1284.13014 Math. Z. 276, No. 1-2, 261-265 (2014). Reviewer: Septimiu Crivei (Cluj-Napoca) MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{I. Yengui}, Math. Z. 276, No. 1--2, 261--265 (2014; Zbl 1284.13014) Full Text: DOI
Pola, Emmanuel; Yengui, Ihsen A negative answer to a question about leading terms ideals of polynomial ideals. (English) Zbl 1272.13027 J. Pure Appl. Algebra 216, No. 11, 2432-2435 (2012). Reviewer: Qiuhui Mo (Huizhou) MSC: 13P10 19A13 14Q20 03F65 16P60 PDFBibTeX XMLCite \textit{E. Pola} and \textit{I. Yengui}, J. Pure Appl. Algebra 216, No. 11, 2432--2435 (2012; Zbl 1272.13027) Full Text: DOI
O’Shea, Seamus Stably free modules over virtually free groups. (English) Zbl 1268.20004 Arch. Math. 99, No. 3, 207-215 (2012). Reviewer: S. V. Mihovski (Plovdiv) MSC: 20C07 16D40 19A13 16E20 16S34 20D15 20E05 PDFBibTeX XMLCite \textit{S. O'Shea}, Arch. Math. 99, No. 3, 207--215 (2012; Zbl 1268.20004) Full Text: DOI arXiv
Fasel, Jean A degree map on unimodular rows. (English) Zbl 1257.19001 J. Ramanujan Math. Soc. 27, No. 1, 21-40 (2012). Reviewer: Avanish Kumar Chaturvedi (Noida) MSC: 19A13 13C10 PDFBibTeX XMLCite \textit{J. Fasel}, J. Ramanujan Math. Soc. 27, No. 1, 21--40 (2012; Zbl 1257.19001) Full Text: arXiv
Johnson, F. E. A. Stably free cancellation for group rings of cyclic and dihedral type. (English) Zbl 1256.16004 Q. J. Math. 63, No. 3, 623-635 (2012). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 16D40 19A13 16E20 16S34 20C07 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, Q. J. Math. 63, No. 3, 623--635 (2012; Zbl 1256.16004) Full Text: DOI
Monceur, Samiha; Yengui, Ihsen On the leading terms ideals of polynomial ideals over a valuation ring. (English) Zbl 1242.13013 J. Algebra 351, No. 1, 382-389 (2012). MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{S. Monceur} and \textit{I. Yengui}, J. Algebra 351, No. 1, 382--389 (2012; Zbl 1242.13013) Full Text: DOI
Lombardi, Henri; Schuster, Peter; Yengui, Ihsen The Gröbner ring conjecture in one variable. (English) Zbl 1242.13012 Math. Z. 270, No. 3-4, 1181-1185 (2012). Reviewer: Avanish Kumar Chaturvedi (Noida) MSC: 13C10 19A13 03F65 PDFBibTeX XMLCite \textit{H. Lombardi} et al., Math. Z. 270, No. 3--4, 1181--1185 (2012; Zbl 1242.13012) Full Text: DOI
Sridharan, Raja On some relations between the Euler class group of real varieties and topology. (English) Zbl 1242.13014 J. Commut. Algebra 3, No. 2, 243-293 (2011). Reviewer: Chen Sheng (Harbin) MSC: 13C10 13D15 19A13 PDFBibTeX XMLCite \textit{R. Sridharan}, J. Commut. Algebra 3, No. 2, 243--293 (2011; Zbl 1242.13014) Full Text: DOI Euclid
Johnson, F. E. A. Infinite branching in the first syzygy. (English) Zbl 1260.16007 J. Algebra 337, No. 1, 181-194 (2011). MSC: 16E05 19A13 16S34 20C07 16D40 16E20 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, J. Algebra 337, No. 1, 181--194 (2011; Zbl 1260.16007) Full Text: DOI
Johnson, F. E. A. Stably free modules over rings of Laurent polynomials. (English) Zbl 1264.16001 Arch. Math. 97, No. 4, 307-317 (2011). MSC: 16D40 19A13 16E20 16S34 20C07 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, Arch. Math. 97, No. 4, 307--317 (2011; Zbl 1264.16001) Full Text: DOI
Yengui, Ihsen Stably free modules over \(\mathbf R[X]\) of rank \(>\dim\mathbf R\) are free. (English) Zbl 1219.13006 Math. Comput. 80, No. 274, 1093-1098 (2011). Reviewer: Sheng Chen (Harbin) MSC: 13C10 19A13 03F65 19B14 14Q20 PDFBibTeX XMLCite \textit{I. Yengui}, Math. Comput. 80, No. 274, 1093--1098 (2011; Zbl 1219.13006) Full Text: DOI
Fasel, J. Projective modules over the real algebraic sphere of dimension 3. (English) Zbl 1210.13015 J. Algebra 325, No. 1, 18-33 (2011). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 13C10 13D15 19A13 19A31 18F30 PDFBibTeX XMLCite \textit{J. Fasel}, J. Algebra 325, No. 1, 18--33 (2011; Zbl 1210.13015) Full Text: DOI arXiv
Røysland, Kjetil Frames generated by actions of countable discrete groups. (English) Zbl 1213.42123 Trans. Am. Math. Soc. 363, No. 1, 95-108 (2011). Reviewer: Franz Luef (Wien) MSC: 42C15 42C40 19A13 PDFBibTeX XMLCite \textit{K. Røysland}, Trans. Am. Math. Soc. 363, No. 1, 95--108 (2011; Zbl 1213.42123) Full Text: DOI arXiv
Fasel, Jean Stably free modules over smooth affine threefolds. (English) Zbl 1209.13015 Duke Math. J. 156, No. 1, 33-49 (2011). Reviewer: N. Mohan Kumar (St. Louis) MSC: 13C10 14J30 19A13 14C25 14C35 14J60 19G38 PDFBibTeX XMLCite \textit{J. Fasel}, Duke Math. J. 156, No. 1, 33--49 (2011; Zbl 1209.13015) Full Text: DOI arXiv
Fasel, Jean Some remarks on orbit sets of unimodular rows. (English) Zbl 1205.13013 Comment. Math. Helv. 86, No. 1, 13-39 (2011). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 13C10 19A13 19G38 14C25 14F43 14P05 PDFBibTeX XMLCite \textit{J. Fasel}, Comment. Math. Helv. 86, No. 1, 13--39 (2011; Zbl 1205.13013) Full Text: DOI arXiv
Jose, Selby; Rao, Ravi A. A fundamental property of Suslin matrices. (English) Zbl 1200.13019 J. \(K\)-Theory 5, No. 3, 407-436 (2010). Reviewer: Sheng Chen (Harbin) MSC: 13C10 15A63 19A13 19B14 PDFBibTeX XMLCite \textit{S. Jose} and \textit{R. A. Rao}, J. \(K\)-Theory 5, No. 3, 407--436 (2010; Zbl 1200.13019) Full Text: DOI
Bak, A.; Basu, Rabeya; Rao, Ravi A. Local-global principle for transvection groups. (English) Zbl 1187.19001 Proc. Am. Math. Soc. 138, No. 4, 1191-1204 (2010). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 19B10 19B14 19A13 13C10 PDFBibTeX XMLCite \textit{A. Bak} et al., Proc. Am. Math. Soc. 138, No. 4, 1191--1204 (2010; Zbl 1187.19001) Full Text: DOI arXiv
Xiang, Yueming; Chen, Huangen On stably free dimensions. (Chinese. English summary) Zbl 1212.16020 J. Nat. Sci. Hunan Norm. Univ. 32, No. 1, 20-23, 28 (2009). MSC: 16E10 19A13 18G20 16D40 PDFBibTeX XMLCite \textit{Y. Xiang} and \textit{H. Chen}, J. Nat. Sci. Hunan Norm. Univ. 32, No. 1, 20--23, 28 (2009; Zbl 1212.16020)
Chen, Huanyin A note on strong separativity over exchange rings. (Chinese. English summary) Zbl 1212.16014 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 378-382 (2009). MSC: 16D70 16D40 19A13 16E50 19B10 PDFBibTeX XMLCite \textit{H. Chen}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 2, 378--382 (2009; Zbl 1212.16014)
Jeong, Ja A; Phillips, N. Christopher; Osaka, Hiroyuki; Teruya, Tamotsu Cancellation for inclusions of \(C^*\)-algebras of finite depth. (English) Zbl 1179.46055 Indiana Univ. Math. J. 58, No. 4, 1537-1564 (2009). Reviewer: Do Ngoc Diep (Hanoi) MSC: 46L80 46L55 19A13 PDFBibTeX XMLCite \textit{J. A Jeong} et al., Indiana Univ. Math. J. 58, No. 4, 1537--1564 (2009; Zbl 1179.46055) Full Text: DOI arXiv
Barhoumi, S.; Lombardi, H.; Yengui, I. Projective modules over polynomial rings: a constructive approach. (English) Zbl 1169.13003 Math. Nachr. 282, No. 6, 792-799 (2009). Reviewer: Dorin-Mihail Popescu (Bucureşti) MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{S. Barhoumi} et al., Math. Nachr. 282, No. 6, 792--799 (2009; Zbl 1169.13003) Full Text: DOI
Chen, Huanyin; Zhang, Wei Power stably free modules over Noetherian rings. (Chinese. English summary) Zbl 1199.16001 Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 6, 1227-1231 (2008). MSC: 16D40 19A13 16E20 16P40 PDFBibTeX XMLCite \textit{H. Chen} and \textit{W. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 28, No. 6, 1227--1231 (2008; Zbl 1199.16001)
Amidou, Morou; Yengui, Ihsen An algorithm for unimodular completion over Laurent polynomial rings. (English) Zbl 1147.13004 Linear Algebra Appl. 429, No. 7, 1687-1698 (2008). Reviewer: Mihai Cipu (Bucureşti) MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{M. Amidou} and \textit{I. Yengui}, Linear Algebra Appl. 429, No. 7, 1687--1698 (2008; Zbl 1147.13004) Full Text: DOI
Yengui, Ihsen The Hermite ring conjecture in dimension one. (English) Zbl 1151.13009 J. Algebra 320, No. 1, 437-441 (2008). Reviewer: Moshe Roitman (Haifa) MSC: 13C10 19A13 PDFBibTeX XMLCite \textit{I. Yengui}, J. Algebra 320, No. 1, 437--441 (2008; Zbl 1151.13009) Full Text: DOI
Lombardi, Henri; Quitté, Claude; Yengui, Ihsen Hidden constructions in abstract algebra. VI: The theorem of Maroscia and Brewer & Costa. (English) Zbl 1142.13006 J. Pure Appl. Algebra 212, No. 7, 1575-1582 (2008). Reviewer: Moshe Roitman (Haifa) MSC: 13C10 19A13 14Q20 03F65 PDFBibTeX XMLCite \textit{H. Lombardi} et al., J. Pure Appl. Algebra 212, No. 7, 1575--1582 (2008; Zbl 1142.13006) Full Text: DOI
Beyl, F. Rudolf; Waller, Nancy Examples of exotic free 2-complexes and stably free nonfree modules for quaternion groups. (English) Zbl 1173.57002 Algebr. Geom. Topol. 8, No. 1, 1-17 (2008). Reviewer: Wolfgang Metzler (Frankfurt / Main) MSC: 57M20 55P15 19A13 16D40 PDFBibTeX XMLCite \textit{F. R. Beyl} and \textit{N. Waller}, Algebr. Geom. Topol. 8, No. 1, 1--17 (2008; Zbl 1173.57002) Full Text: DOI
Ara, Pere; Perera, Francesc Non-stable \(K\)-theory for QB-rings. (English) Zbl 1167.16006 Math. Scand. 100, No. 2, 265-300 (2007). Reviewer: Kenneth R. Goodearl (Santa Barbara) MSC: 16E20 16D70 19A13 19B10 16D40 16S50 PDFBibTeX XMLCite \textit{P. Ara} and \textit{F. Perera}, Math. Scand. 100, No. 2, 265--300 (2007; Zbl 1167.16006) Full Text: DOI
Chen, Huanyin A note on \(c\)-separative modules. (English) Zbl 1135.19300 Kyungpook Math. J. 47, No. 3, 357-361 (2007). MSC: 19A13 13G05 13C10 PDFBibTeX XMLCite \textit{H. Chen}, Kyungpook Math. J. 47, No. 3, 357--361 (2007; Zbl 1135.19300)
Phillips, N. Christopher Cancellation and stable rank for direct limits of recursive subhomogeneous algebras. (English) Zbl 1139.19004 Trans. Am. Math. Soc. 359, No. 10, 4625-4652 (2007). Reviewer: Do Ngoc Diep (Hanoi) MSC: 19K14 46L80 46M40 19A13 19B14 54H20 PDFBibTeX XMLCite \textit{N. C. Phillips}, Trans. Am. Math. Soc. 359, No. 10, 4625--4652 (2007; Zbl 1139.19004) Full Text: DOI arXiv
Phillips, N. Christopher Recursive subhomogeneous algebras. (English) Zbl 1125.46044 Trans. Am. Math. Soc. 359, No. 10, 4595-4623 (2007). MSC: 46L05 46L80 19A13 19B14 19K14 PDFBibTeX XMLCite \textit{N. C. Phillips}, Trans. Am. Math. Soc. 359, No. 10, 4595--4623 (2007; Zbl 1125.46044) Full Text: DOI arXiv
Ara, P.; Moreno, M. A.; Pardo, E. Nonstable \(K\)-theory for graph algebras. (English) Zbl 1123.16006 Algebr. Represent. Theory 10, No. 2, 157-178 (2007). Reviewer: Tong Wenting (Nanjing) MSC: 16E20 46L80 16D70 46L05 19A13 PDFBibTeX XMLCite \textit{P. Ara} et al., Algebr. Represent. Theory 10, No. 2, 157--178 (2007; Zbl 1123.16006) Full Text: DOI arXiv
Lombardi, Henri; Yengui, Ihsen Suslin’s algorithms for reduction of unimodular rows. (English) Zbl 1120.13034 J. Symb. Comput. 39, No. 6, 707-717 (2005). MSC: 13P10 03F65 19A13 14Q20 PDFBibTeX XMLCite \textit{H. Lombardi} and \textit{I. Yengui}, J. Symb. Comput. 39, No. 6, 707--717 (2005; Zbl 1120.13034) Full Text: DOI
Johnson, F. E. A. The stable class of the augmentation ideal. (English) Zbl 1094.20001 \(K\)-Theory 34, No. 2, 141-150 (2005). Reviewer: S. V. Mihovski (Plovdiv) MSC: 20C07 16S34 05C05 16E65 19A13 PDFBibTeX XMLCite \textit{F. E. A. Johnson}, \(K\)-Theory 34, No. 2, 141--150 (2005; Zbl 1094.20001) Full Text: DOI
Beyl, F. Rudolf; Waller, Nancy A stably free nonfree module and its relevance for homotopy classification, case \(Q_28\). (English) Zbl 1084.57003 Algebr. Geom. Topol. 5, 899-910 (2005). Reviewer: Wolfgang Metzler (Frankfurt / Main) MSC: 57M20 55P15 19A13 PDFBibTeX XMLCite \textit{F. R. Beyl} and \textit{N. Waller}, Algebr. Geom. Topol. 5, 899--910 (2005; Zbl 1084.57003) Full Text: DOI arXiv EuDML EMIS
Li, Zhonghua; Song, Guangtian; Chu, Chenghao On PMM rings. (English) Zbl 1088.16009 J. Univ. Sci. Technol. China 35, No. 1, 32-41 (2005). Reviewer: Tong Wenting (Nanjing) MSC: 16D90 19A13 16S50 16D40 13F05 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Univ. Sci. Technol. China 35, No. 1, 32--41 (2005; Zbl 1088.16009)
Mandal, Satya; Purnaprajna, Bangere Complete intersections and cancellation of projective modules. (English) Zbl 1053.13004 J. Ramanujan Math. Soc. 18, No. 1, 77-85 (2003). Reviewer: John Rosenknop (Berlin) MSC: 13C40 14M10 13C10 19A13 PDFBibTeX XMLCite \textit{S. Mandal} and \textit{B. Purnaprajna}, J. Ramanujan Math. Soc. 18, No. 1, 77--85 (2003; Zbl 1053.13004)
Song, Guangtian; Chu, Chenghao; Zhu, Minxian Regularly stable rings and stable isomorphism of modules. (English) Zbl 1035.19001 J. Univ. Sci. Technol. China 33, No. 1, 1-8 (2003). MSC: 19A13 PDFBibTeX XMLCite \textit{G. Song} et al., J. Univ. Sci. Technol. China 33, No. 1, 1--8 (2003; Zbl 1035.19001)
Bhatwadekar, S. M. A cancellation theorem for projective modules over affine algebras over \(C_{1}\)-fields. (English) Zbl 1049.13004 J. Pure Appl. Algebra 183, No. 1-3, 17-26 (2003). Reviewer: John Rosenknop (Berlin) MSC: 13C10 19A13 PDFBibTeX XMLCite \textit{S. M. Bhatwadekar}, J. Pure Appl. Algebra 183, No. 1--3, 17--26 (2003; Zbl 1049.13004) Full Text: DOI
Feng, Lianggui; Chen, Huanyin \(K_0\) groups on three categories of special modules. (Chinese. English summary) Zbl 1018.16006 Acta Math. Sin. 45, No. 3, 567-570 (2002). Reviewer: Tong Wenting (Nanjing) MSC: 16E20 19A13 19A49 16D90 PDFBibTeX XMLCite \textit{L. Feng} and \textit{H. Chen}, Acta Math. Sin. 45, No. 3, 567--570 (2002; Zbl 1018.16006)
Nagisa, Masaru; Osaka, Hiroyuki; Phillips, N. Christopher Ranks of algebras of continuous C*-algebra valued functions. (English) Zbl 0991.46029 Can. J. Math. 53, No. 5, 979-1030 (2001). Reviewer: J.Hamhalter (Praha) MSC: 46L06 46L52 46L80 19A13 19B10 46L05 PDFBibTeX XMLCite \textit{M. Nagisa} et al., Can. J. Math. 53, No. 5, 979--1030 (2001; Zbl 0991.46029) Full Text: DOI
Zhu, Xiaosheng Power stable free resolutions and Grothendieck groups. (English) Zbl 0989.16008 Commun. Algebra 29, No. 7, 2899-2921 (2001). Reviewer: Tong Wenting (Nanjing) MSC: 16E20 16E05 19A13 16D40 PDFBibTeX XMLCite \textit{X. Zhu}, Commun. Algebra 29, No. 7, 2899--2921 (2001; Zbl 0989.16008) Full Text: DOI
Mandal, Satya Decomposition of projective modules. (English) Zbl 1088.13506 \(K\)-Theory 22, No. 4, 393-400 (2001). MSC: 13C10 19A13 PDFBibTeX XMLCite \textit{S. Mandal}, \(K\)-Theory 22, No. 4, 393--400 (2001; Zbl 1088.13506) Full Text: DOI
Sivatski, A. S. On unimodular rows over polynomial rings. (English) Zbl 0961.19001 Algebra Colloq. 7, No. 2, 197-204 (2000). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19A13 13C10 19B14 13B25 13F20 PDFBibTeX XMLCite \textit{A. S. Sivatski}, Algebra Colloq. 7, No. 2, 197--204 (2000; Zbl 0961.19001) Full Text: DOI
Chen, Huanyin On generalized stable rings. (English) Zbl 0955.16006 Commun. Algebra 28, No. 4, 1907-1917 (2000). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16D70 16E50 19A13 PDFBibTeX XMLCite \textit{H. Chen}, Commun. Algebra 28, No. 4, 1907--1917 (2000; Zbl 0955.16006) Full Text: DOI
Artamonov, V. A. The quantum Serre problem. (English. Russian original) Zbl 0931.16002 Russ. Math. Surv. 53, No. 4, 657-730 (1998); translation from Usp. Mat. Nauk 53, No. 4, 3-76 (1998). Reviewer: M.Lorenz (Philadelphia) MSC: 16D40 16S36 16-02 16E20 18F30 19A13 PDFBibTeX XMLCite \textit{V. A. Artamonov}, Russ. Math. Surv. 53, No. 4, 657--730 (1998; Zbl 0931.16002); translation from Usp. Mat. Nauk 53, No. 4, 3--76 (1998) Full Text: DOI
Cougnard, Jean Stably free rings of integers over \(\mathbb{Z}[H_8\times C_2]\). (Anneaux d’entiers stablement libres sur \(\mathbb{Z}[H_8\times C_2]\).) (French) Zbl 0924.11093 J. Théor. Nombres Bordx. 10, No. 1, 163-201 (1998). Reviewer: M.E.Keating (London) MSC: 11R33 20C10 11R20 19A13 PDFBibTeX XMLCite \textit{J. Cougnard}, J. Théor. Nombres Bordx. 10, No. 1, 163--201 (1998; Zbl 0924.11093) Full Text: DOI Numdam EuDML EMIS
Mandal, Satya Complete intersection \(K\)-theory and Chern classes. (English) Zbl 0946.19002 Math. Z. 227, No. 3, 423-454 (1998). Reviewer: W.W.J.Hulsbergen (Haarlem) MSC: 19E08 14M10 13C40 19A49 19A13 13C10 PDFBibTeX XMLCite \textit{S. Mandal}, Math. Z. 227, No. 3, 423--454 (1998; Zbl 0946.19002) Full Text: DOI arXiv
Sridharan, Raja Projective modules and complete intersections. (English) Zbl 0903.13002 \(K\)-Theory 13, No. 3, 269-278 (1998). Reviewer: S.Mandal (Lawrence) MSC: 13C10 19A13 13E05 14M10 13C40 PDFBibTeX XMLCite \textit{R. Sridharan}, \(K\)-Theory 13, No. 3, 269--278 (1998; Zbl 0903.13002) Full Text: DOI
Wu, Tongsuo On the stable range of endomorphism rings of quasi-projective modules. (English) Zbl 0902.16003 Commun. Algebra 26, No. 1, 139-146 (1998). Reviewer: K.R.Goodearl (Santa Barbara) MSC: 16D40 16D50 19A13 19B10 16S50 PDFBibTeX XMLCite \textit{T. Wu}, Commun. Algebra 26, No. 1, 139--146 (1998; Zbl 0902.16003) Full Text: DOI
Zhu, Xiaosheng; Tong, Wenting Categories of power stably free modules and their \(K_0\) groups. (English) Zbl 0932.19001 Sci. China, Ser. A 40, No. 12, 1239-1246 (1997). Reviewer: F.Ischebeck (Münster) MSC: 19A13 16D40 18F25 16D90 PDFBibTeX XMLCite \textit{X. Zhu} and \textit{W. Tong}, Sci. China, Ser. A 40, No. 12, 1239--1246 (1997; Zbl 0932.19001) Full Text: DOI
Chen, Huanyin Grothendieck rings and their applications. (Chinese. English summary) Zbl 0910.16007 Acta Math. Sin. 40, No. 5, 641-646 (1997). MSC: 16E20 19A31 16S34 19A13 PDFBibTeX XMLCite \textit{H. Chen}, Acta Math. Sin. 40, No. 5, 641--646 (1997; Zbl 0910.16007)
Beyl, F. Rudolf; Latiolais, M. Paul; Waller, Nancy Classifications of 2-complexes whose finite fundamental group is that of a 3-manifold. (English) Zbl 0927.57003 Proc. Edinb. Math. Soc., II. Ser. 40, No. 1, 69-84 (1997). Reviewer: E.Molnár (Budapest) MSC: 57M20 57Q10 57M40 57M60 19B28 19A31 19A13 PDFBibTeX XMLCite \textit{F. R. Beyl} et al., Proc. Edinb. Math. Soc., II. Ser. 40, No. 1, 69--84 (1997; Zbl 0927.57003) Full Text: DOI
Mohan Kumar, N. A note on unimodular rows. (English) Zbl 0901.13009 J. Algebra 191, No. 1, 228-234 (1997). Reviewer: Christodor Ionescu (Bucureşti) MSC: 13C10 13F20 19A13 PDFBibTeX XMLCite \textit{N. Mohan Kumar}, J. Algebra 191, No. 1, 228--234 (1997; Zbl 0901.13009) Full Text: DOI
Nagase, Teruko An algebraic \(SL_{2}\)-vector bundle over \(R_{2}\) as a variety. (English) Zbl 0871.14036 Proc. Am. Math. Soc. 124, No. 11, 3325-3331 (1996). Reviewer: E.Oeljeklaus (Bremen) MSC: 14L30 14M17 14D20 19A13 PDFBibTeX XMLCite \textit{T. Nagase}, Proc. Am. Math. Soc. 124, No. 11, 3325--3331 (1996; Zbl 0871.14036) Full Text: DOI
Chen, Huanyin Projective modules over polynomial rings. (Chinese) Zbl 0860.13007 Chin. Ann. Math., Ser. A 17, No. 2, 213-218 (1996). Reviewer: Chen Zhijie (Shanghai) MSC: 13C10 19A13 18G05 13F20 PDFBibTeX XMLCite \textit{H. Chen}, Chin. Ann. Math., Ser. A 17, No. 2, 213--218 (1996; Zbl 0860.13007)
Chen, Huanyin Projective modules over extension rings. (Chinese. English summary) Zbl 0866.19001 Acta Sci. Nat. Univ. Norm. Hunanensis 19, No. 4, 15-19 (1996). MSC: 19A13 13C10 PDFBibTeX XMLCite \textit{H. Chen}, Acta Sci. Nat. Univ. Norm. Hunanensis 19, No. 4, 15--19 (1996; Zbl 0866.19001)