Szymiczek, Kazimierz Quadratic forms. (English) Zbl 1213.11092 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 35-80 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 11E81 11-02 11E25 PDFBibTeX XMLCite \textit{K. Szymiczek}, Handb. Algebra 6, 35--80 (2009; Zbl 1213.11092) Full Text: DOI
Ciemała, Marzena; Szymiczek, Kazimierz On injectivity of natural homomorphisms of Witt rings. (English) Zbl 1241.11046 Ann. Math. Sil. 21, 15-30 (2007). MSC: 11E81 11R54 PDFBibTeX XMLCite \textit{M. Ciemała} and \textit{K. Szymiczek}, Ann. Math. Sil. 21, 15--30 (2007; Zbl 1241.11046) Full Text: Link
Ciemała, Marzena; Szymiczek, Kazimierz On the existence of nonsingular bilinear forms on projective modules. (English) Zbl 1150.11419 Tatra Mt. Math. Publ. 32, 1-13 (2005). Reviewer: Alfred Czogała (Katowice) MSC: 11E81 PDFBibTeX XMLCite \textit{M. Ciemała} and \textit{K. Szymiczek}, Tatra Mt. Math. Publ. 32, 1--13 (2005; Zbl 1150.11419)
Ciemala, Marzena; Szymiczek, Kazimierz On natural homomorphisms of Witt rings. (English) Zbl 1071.11020 Proc. Am. Math. Soc. 133, No. 9, 2519-2523 (2005). Reviewer: Uzi Vishne (Ramat-Gan) MSC: 11E81 19G12 11R80 PDFBibTeX XMLCite \textit{M. Ciemala} and \textit{K. Szymiczek}, Proc. Am. Math. Soc. 133, No. 9, 2519--2523 (2005; Zbl 1071.11020) Full Text: DOI
Szymiczek, Kazimierz Ten problems on quadratic forms. (English) Zbl 1080.11033 Acta Math. Inform. Univ. Ostrav. 10, No. 1, 133-143 (2002). MSC: 11E81 11E04 11E12 PDFBibTeX XMLCite \textit{K. Szymiczek}, Acta Math. Inform. Univ. Ostrav. 10, No. 1, 133--143 (2002; Zbl 1080.11033) Full Text: EuDML
Ciemała, Marzena; Szymiczek, Kazimierz Witt equivalence of global function fields. (English) Zbl 0992.11033 Tatra Mt. Math. Publ. 20, 1-9 (2000). Reviewer: Alfred Czogała (Katowice) MSC: 11E81 11R99 PDFBibTeX XMLCite \textit{M. Ciemała} and \textit{K. Szymiczek}, Tatra Mt. Math. Publ. 20, 1--9 (2000; Zbl 0992.11033)
Szymiczek, Kazimierz Conner’s level condition. (English) Zbl 0973.11096 Halter-Koch, Franz (ed.) et al., Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30-September 5, 1998. Berlin: Walter de Gruyter. 445-452 (2000). Reviewer: Tara L.Smith (Cincinnati) MSC: 11R29 11E12 11E81 PDFBibTeX XMLCite \textit{K. Szymiczek}, in: Algebraic number theory and diophantine analysis. Proceedings of the international conference, Graz, Austria, August 30--September 5, 1998. Berlin: Walter de Gruyter. 445--452 (2000; Zbl 0973.11096)
Szymiczek, Kazimierz \(p\)-ranks of class groups of Witt equivalent number fields. (English) Zbl 0988.11054 J. Number Theory 78, No. 1, 99-106 (1999). Reviewer: A.G.Earnest (Carbondale) MSC: 11R29 11E12 11E81 PDFBibTeX XMLCite \textit{K. Szymiczek}, J. Number Theory 78, No. 1, 99--106 (1999; Zbl 0988.11054) Full Text: DOI
Szymiczek, Kazimierz On the Milnor exact sequence for rational quadratic forms. (English) Zbl 0933.11022 Győry, Kálmán (ed.) et al., Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30–July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 531-537 (1999). Reviewer: Tara L.Smith (Cincinnati) MSC: 11E81 11E70 PDFBibTeX XMLCite \textit{K. Szymiczek}, in: Number theory in progress. Proceedings of the international conference organized by the Stefan Banach International Mathematical Center in honor of the 60th birthday of Andrzej Schinzel, Zakopane, Poland, June 30--July 9, 1997. Volume 1: Diophantine problems and polynomials. Berlin: de Gruyter. 531--537 (1999; Zbl 0933.11022)
Szymiczek, Kazimierz A characterization of tame Hilbert-symbol equivalence. (English) Zbl 1024.11022 Acta Math. Inform. Univ. Ostrav. 6, No. 1, 191-201 (1998). Reviewer: Ladislav Skula (Brno) MSC: 11E81 11E12 PDFBibTeX XMLCite \textit{K. Szymiczek}, Acta Math. Inform. Univ. Ostrav. 6, No. 1, 191--201 (1998; Zbl 1024.11022) Full Text: EuDML
Szymiczek, Kazimierz \(2\)-ranks of class groups of Witt equivalent number fields. (English) Zbl 0926.11083 Pr. Nauk. Uniw. Śląsk. Katowicach 1751, Ann. Math. Silesianae 12, 53-64 (1998). Reviewer: A.G.Earnest (Carbondale) MSC: 11R29 11E12 11E81 PDFBibTeX XMLCite \textit{K. Szymiczek}, Pr. Nauk. Uniw. Śląsk. Katowicach, Ann. Math. Silesianae 1751(12), 53--64 (1998; Zbl 0926.11083)
Szymiczek, Kazimierz Hilbert’s eleventh problem (the theory of quadratic forms over algebraic number fields). (Polish. English summary) Zbl 0998.11001 Wiȩsław, Witold (ed.), Hilbert’s problems. On the occasion of the fiftieth anniversary of the death of their creator. Proceedings of the 7th All-Polish School on the history of mathematics, Miȩdzyzdroje, Poland, May 10-14, 1993. Warsaw: Instytut Historii Nauki PAN. 129-145 (1997). Reviewer: K.Kozioł (Katowice) MSC: 11-03 01A60 11E12 PDFBibTeX XMLCite \textit{K. Szymiczek}, in: Problemy Hilberta. W piȩćdziesiȩciolecie śmierci ich twórcy. Warsaw: Instytut Historii Nauki PAN. 129--145 (1997; Zbl 0998.11001)
Szymiczek, Kazimierz Hilbert’s seventeenth problem (sums of squares in rational function fields). (Polish. English summary) Zbl 0998.11002 Wiȩsław, Witold (ed.), Hilbert’s problems. On the occasion of the fiftieth anniversary of the death of their creator. Proceedings of the 7th All-Polish School on the history of mathematics, Miȩdzyzdroje, Poland, May 10-14, 1993. Warsaw: Instytut Historii Nauki PAN. 189-201 (1997). Reviewer: K.Kozioł (Katowice) MSC: 11-03 01A60 11E25 PDFBibTeX XMLCite \textit{K. Szymiczek}, in: Problemy Hilberta. W piȩćdziesiȩciolecie śmierci ich twórcy. Warsaw: Instytut Historii Nauki PAN. 189--201 (1997; Zbl 0998.11002)
Szymiczek, Kazimierz Hilbert-symbol equivalence of number fields. (English) Zbl 0978.11012 Tatra Mt. Math. Publ. 11, 7-16 (1997). Reviewer: Alfred Czogała (Katowice) MSC: 11E81 11E12 PDFBibTeX XMLCite \textit{K. Szymiczek}, Tatra Mt. Math. Publ. 11, 7--16 (1997; Zbl 0978.11012)
Szymiczek, Kazimierz Bilinear algebra. An introduction to the algebraic theory of quadratic forms. (English) Zbl 0890.11011 Algebra, Logic and Applications. 7. Langhorne, PA: Gordon and Breach Science Publishers. xii, 486 p. (1997). Reviewer: A.Pfister (Mainz) MSC: 11Exx 11-01 11E04 11E81 12D15 11E39 15A63 PDFBibTeX XMLCite \textit{K. Szymiczek}, Bilinear algebra. An introduction to the algebraic theory of quadratic forms. Langhorne, PA: Gordon and Breach Science Publishers (1997; Zbl 0890.11011)
Conner, P. E.; Perlis, R.; Szymiczek, K. Wild sets and 2-ranks of class groups. (English) Zbl 0880.11039 Acta Arith. 79, No. 1, 83-91 (1997). Reviewer: A.G.Earnest (Carbondale) MSC: 11E81 11R29 PDFBibTeX XMLCite \textit{P. E. Conner} et al., Acta Arith. 79, No. 1, 83--91 (1997; Zbl 0880.11039) Full Text: DOI EuDML
Szymiczek, K. Knebusch-Milnor exact sequence and parity of class numbers. (English) Zbl 0870.11070 Acta Math. Inform. Univ. Ostrav. 4, No. 1, 83-95 (1996). MSC: 11R29 11E81 11R11 PDFBibTeX XMLCite \textit{K. Szymiczek}, Acta Math. Inform. Univ. Ostrav. 4, No. 1, 83--95 (1996; Zbl 0870.11070) Full Text: EuDML
Jakubec, Stanislav; Marko, František; Szymiczek, Kazimierz Parity of class numbers and Witt equivalence of quartic fields. (English) Zbl 0854.11023 Math. Comput. 64, No. 212, 1711-1715 (1995); Corrigendum ibid. 66, No. 218, 927 (1997). Reviewer: A.G.Earnest (Carbondale) MSC: 11E81 11R29 11R16 11E41 PDFBibTeX XMLCite \textit{S. Jakubec} et al., Math. Comput. 64, No. 212, 1711--1715 (1995; Zbl 0854.11023) Full Text: DOI
Szymiczek, Kazimierz Witt equivalence of global fields. II: Relative quadratic extensions. (English) Zbl 0812.11025 Trans. Am. Math. Soc. 343, No. 1, 277-303 (1994). Reviewer: A.Pfister (Mainz) MSC: 11E12 11E81 PDFBibTeX XMLCite \textit{K. Szymiczek}, Trans. Am. Math. Soc. 343, No. 1, 277--303 (1994; Zbl 0812.11025) Full Text: DOI
Perlis, R.; Szymiczek, K.; Conner, P. E.; Litherland, R. Matching Witts with global fields. (English) Zbl 0807.11024 Jacob, William B. (ed.) et al., Recent advances in real algebraic geometry and quadratic forms. Proceedings of the RAGSQUAD year, Berkeley, CA, USA, 1990-1991. Providence, RI: American Mathematical Society. Contemp. Math. 155, 365-387 (1994). Reviewer: A.G.Earnest (Carbondale) MSC: 11E81 11E12 11E08 PDFBibTeX XMLCite \textit{R. Perlis} et al., Contemp. Math. 155, 365--387 (1994; Zbl 0807.11024)
Kučera, Radan; Szymiczek, Kazimierz Witt equivalence of cyclotomic fields. (English) Zbl 0784.11014 Math. Slovaca 42, No. 5, 663-676 (1992). Reviewer: N.Schwartz (Passau) MSC: 11E81 11E08 11R18 PDFBibTeX XMLCite \textit{R. Kučera} and \textit{K. Szymiczek}, Math. Slovaca 42, No. 5, 663--676 (1992; Zbl 0784.11014) Full Text: EuDML
Szymiczek, Kazimierz Matching Witts locally and globally. (English) Zbl 0766.11023 Math. Slovaca 41, No. 3, 315-330 (1991). Reviewer: A.G.Earnest (Carbondale) MSC: 11E12 11E81 PDFBibTeX XMLCite \textit{K. Szymiczek}, Math. Slovaca 41, No. 3, 315--330 (1991; Zbl 0766.11023) Full Text: EuDML
Szymiczek, Kazimierz Lectures on bilinear algebra. (Polish) Zbl 0755.11013 Skrypty Uniwersytetu ’Sląskiego 467. Katowice: Uniwersytet Śląski. 268 p. (1991). Reviewer: A.Sładek (Katowice) MSC: 11E04 11-01 11E81 15A63 12D15 PDFBibTeX XMLCite \textit{K. Szymiczek}, Lectures on bilinear algebra (Polish). Katowice: Uniwersytet Śląski (1991; Zbl 0755.11013)
Szymiczek, Kazimierz Witt equivalence of global fields. (English) Zbl 0724.11020 Commun. Algebra 19, No. 4, 1125-1149 (1991). Reviewer: Albrecht Pfister (Mainz) MSC: 11E81 11R58 11R99 PDFBibTeX XMLCite \textit{K. Szymiczek}, Commun. Algebra 19, No. 4, 1125--1149 (1991; Zbl 0724.11020) Full Text: DOI
Szymiczek, Kazimierz Generalized Hilbert fields. II. (English) Zbl 0705.11026 Fundam. Math. 133, No. 3, 211-223 (1989). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E81 11E10 12D15 PDFBibTeX XMLCite \textit{K. Szymiczek}, Fundam. Math. 133, No. 3, 211--223 (1989; Zbl 0705.11026) Full Text: DOI EuDML
Kula, Mieczysław; Szczepanik, L.; Szymiczek, Kazimierz Quadratic form schemes and quaternionic schemes. (English) Zbl 0672.10015 Fundam. Math. 130, No. 4, 181-190 (1988). Reviewer: Li Delang MSC: 11E04 11E16 PDFBibTeX XMLCite \textit{M. Kula} et al., Fundam. Math. 130, No. 4, 181--190 (1988; Zbl 0672.10015) Full Text: DOI EuDML
Szymiczek, Kazimierz Abstract Grothendieck rings. (English) Zbl 0621.10015 Colloq. Math. 53, No. 1-2, 17-25 (1987). Reviewer: D.B.Shapiro MSC: 11E16 12D15 PDFBibTeX XMLCite \textit{K. Szymiczek}, Colloq. Math. 53, No. 1--2, 17--25 (1987; Zbl 0621.10015) Full Text: DOI
Szymiczek, Kazimierz Generalized rigid elements in fields. (English) Zbl 0597.10018 Pac. J. Math. 129, No. 1, 171-186 (1987). MSC: 11E04 11E16 12D15 12F99 PDFBibTeX XMLCite \textit{K. Szymiczek}, Pac. J. Math. 129, No. 1, 171--186 (1987; Zbl 0597.10018) Full Text: DOI
Szymiczek, Kazimierz Structure of the basic part of a field. (English) Zbl 0587.10012 J. Algebra 99, 422-429 (1986). Reviewer: A.Pfister MSC: 11E04 11E16 11E12 12E99 PDFBibTeX XMLCite \textit{K. Szymiczek}, J. Algebra 99, 422--429 (1986; Zbl 0587.10012) Full Text: DOI
Szymiczek, Kazimir What is new in 10C05? (Abstract Witt rings and Pfisterian structures). (English) Zbl 0648.10016 Number theory, Summer Sch. Chlébské/Czech. 1983, 66-72 (1985). Reviewer: K.Szymiczek MSC: 11E16 11E04 11-02 PDFBibTeX XML
Szymiczek, Kazimierz; Yucas, Joseph Quadratic forms, rigid elements and nonreal preorders. (English) Zbl 0514.10014 Proc. Am. Math. Soc. 88, 201-204 (1983). MSC: 11E04 11E16 PDFBibTeX XMLCite \textit{K. Szymiczek} and \textit{J. Yucas}, Proc. Am. Math. Soc. 88, 201--204 (1983; Zbl 0514.10014) Full Text: DOI
Szymiczek, Kazimierz Generalized Hilbert fields. (English) Zbl 0461.12013 J. Reine Angew. Math. 329, 58-65 (1981). MSC: 12D99 12D15 11E04 11E10 PDFBibTeX XMLCite \textit{K. Szymiczek}, J. Reine Angew. Math. 329, 58--65 (1981; Zbl 0461.12013) Full Text: DOI EuDML
Szymiczek, Kazimierz On GR-equivalence of fields. (English) Zbl 0444.10014 Pr. Nauk. Uniw. Śląsk. Katowicach 332, Pr. Mat. 10, 12-16 (1980). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E04 11E81 PDFBibTeX XML
Kula, Mieczyslaw; Szczepanik, Lucyna; Szymiczek, Kazimierz Quadratic forms over formally real fields with eight square classes. (English) Zbl 0432.10007 Manuscr. Math. 29, 295-303 (1979). MSC: 11E10 11E04 PDFBibTeX XMLCite \textit{M. Kula} et al., Manuscr. Math. 29, 295--303 (1979; Zbl 0432.10007) Full Text: DOI EuDML
Szymiczek, K. Quadratic forms over fields. (English) Zbl 0371.12017 Diss. Math. 152, 63 pp. (1977). Reviewer: Meinhard Peters (Münster) MSC: 11E81 11E04 PDFBibTeX XML
Szymiczek, K. A structure theorem for Grothendieck group of quadratic forms over a field. (English) Zbl 0333.10011 Top. Number Theory, Debrecen 1974, Colloq. Math. Soc. János Bolyai 13, 389-397 (1976). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E81 PDFBibTeX XML
Szymiczek, Kazimierz Universal binary quadratic forms. (English) Zbl 0324.13023 Prace Nauk. Uniw. Slask., Katowicach 59, Prace Mat. 5, 49-57 (1975). MSC: 11E81 PDFBibTeX XML
Szymiczek, K. Quadratic forms over fields with finite square class number. (English) Zbl 0317.10034 Acta Arith. 28, 195-221 (1975). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E81 PDFBibTeX XMLCite \textit{K. Szymiczek}, Acta Arith. 28, 195--221 (1975; Zbl 0317.10034) Full Text: DOI EuDML
Szymiczek, K. Note on a paper by T. Nagell. (English) Zbl 0279.10016 Acta Arith. 25, 313-314 (1974). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11D04 11E16 PDFBibTeX XMLCite \textit{K. Szymiczek}, Acta Arith. 25, 313--314 (1974; Zbl 0279.10016) Full Text: DOI EuDML
Szymiczek, K. Grothendieck groups of quadratic forms and \(G\)-equivalence of fields. Corrigendum. (English) Zbl 0261.10018 Proc. Camb. Philos. Soc. 74, 199 (1973). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E81 11R99 PDFBibTeX XMLCite \textit{K. Szymiczek}, Proc. Camb. Philos. Soc. 74, 199 (1973; Zbl 0261.10018)
Szymiczek, K. Grothendieck groups of quadratic forms and \(G\)-equivalence of fields. (English) Zbl 0244.10022 Proc. Camb. Philos. Soc. 73, 29-36 (1973). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11E81 11R99 PDFBibTeX XMLCite \textit{K. Szymiczek}, Proc. Camb. Philos. Soc. 73, 29--36 (1973; Zbl 0244.10022) Full Text: DOI
Szymiczek, Kazimierz The integer solutions of the equation \(ax^2 + by^2 + cz^2 = 0\) in quadratic fields. (English) Zbl 0243.10017 Prace Nauk. Uniw. Śląski. Katowicach 19, Prace Mat. 2, 91-94 (1972). Reviewer: Kazimierz Szymiczek (Katowice) MSC: 11D09 11E16 PDFBibTeX XML