Bibliography of the Universität Regensburg

Izhakian, Zur and Knebusch, Manfred (2022) Amalgamation and extensions of summand absorbing modules over a semiring. Journal of Algebra and Its Applications 21 (06). Fulltext not available.

Izhakian, Zur and Knebusch, Manfred (2022) Cauchy–Schwarz functions and convex partitions in the ray space of a supertropical quadratic form. Linear and Multilinear Algebra 70 (20), pp. 5502-5546. Fulltext not available.

Izhakian, Zur and Knebusch, Manfred (2022) Stratifications of the ray space of a tropical quadratic form by Cauchy-Schwartz functions. The Electronic Journal of Linear Algebra, pp. 531-558. Fulltext not available.

Izhakian, Zur, Knebusch, Manfred and Rowen, Louis (2021) Generation of summand absorbing submodules. Journal of Algebra and Its Applications 20 (11). Fulltext not available.

Izhakian, Zur and Knebusch, Manfred (2020) Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form. Linear and Multilinear Algebra 68 (12), pp. 2347-2389. Fulltext not available.

Izhakian, Zur, Knebusch, Manfred and Rowen, Louis (2019) Summand absorbing submodules of a module over a semiring. Journal of Pure and Applied Algebra 223 (8), pp. 3262-3294. Fulltext not available.

Izhakian, Zur, Knebusch, Manfred and Rowen, Louis (2018) Decompositions of modules lacking zero sums. Israel Journal of Mathematics 225 (2), pp. 503-524. Fulltext not available.

Izhakian, Zur, Knebusch, Manfred and Rowen, Louis (2016) Minimal orderings and quadratic forms on a free module over a supertropical semiring. Linear Algebra and its Applications 507, pp. 420-461. Fulltext not available.

Izhakian, Zur, Knebusch, Manfred and Rowen, Louis (2016) Supertropical quadratic forms I. Journal of Pure and Applied Algebra 220 (1), pp. 61-93. Fulltext not available.

Augustin, Doris (2008) The Membership Problem for quadratic modules with focus on the one dimensional case. PhD, Universität Regensburg.

Knebusch, Manfred (2007) Positivity and convexity in rings of fractions. Positivity 11 (4), pp. 639-686. Fulltext not available.

Knebusch, Manfred and Zhang, Digen (2005) Convexity, valuations and Prüfer extensions in real algebra. Documenta Mathematica - Journal der Deutschen Mathematiker-Vereinigung 10, pp. 1-109. Fulltext not available.

Knebusch, Manfred, Grill, Thomas and Tressl, Marcus (2002) An existence theorem for systems of implicit differential equations. Banach Center Publications 58, pp. 75-77. Fulltext not available.

Knebusch, Manfred and Zhang, Digen (2002) Manis valuations and relative Prüfer rings I: A new chapter in commutative algebra. Lecture Notes in Mathematics. Springer, Berlin. ISBN 354043951X; 978-3540439516. Fulltext not available.

Knebusch, Manfred and Rehmann, Ulf (2000) Generic splitting towers and generic splitting preparation of quadratic forms. In: Bayer-Fluckiger, Eva and Lewis, David and Ranicki, Andrew, (eds.) Quadratic Forms and their Applications. Contemporary Mathematics, 272. American Mathematical Society, pp. 173-199. ISBN 0821827790; 978-0821827796. Fulltext not available.

Knebusch, Manfred (1999) Generic splitting of quadratic forms in the presence of bad reduction. Journal für die reine und angewandte Mathematik 517, pp. 117-130. Fulltext not available.

Knebusch, Manfred (1998) Report on the papers "On valuation spectra" and "Manis valuations and relative Prüfer rings I". Banach Center Publications 44, pp. 141-148. Fulltext not available.

Knebusch, Manfred and Zhang, Digen (1996) Manis valuations and relative Prüfer rings I. Documenta Mathematica - Journal der Deutschen Mathematiker-Vereinigung 1, pp. 149-197. Fulltext not available.

Knebusch, Manfred and Huber, Roland (1994) On valuation spectra. In: Jacob, W. B. and Lam, T. Y. and Robson, R. O., (eds.) Recent advances in real algebraic geometry and quadratic forms. Contemporary Mathematics, 155. American Mathematical Society, pp. 167-206. ISBN 0821851543; 978-0821851548.

Knebusch, Manfred (1992) Semialgebraic topology in the last ten years. In: Coste, Michel and Mahé, Louis and Roy, Marie-Francoise, (eds.) Real algebraic geometry. Lecture Notes in Mathematics, 1524. Springer, Berlin, pp. 1-36. ISBN 3540559922; 978-3540559924.

Knebusch, Manfred and Huber, Roland (1990) A glimpse at isoalgebraic spaces. Note di Matematica 10 (suppl.), pp. 315-336.

Knebusch, Manfred and Scheiderer, Claus (1989) Einführung in die reelle Algebra. Vieweg-Studium - Aufbaukurs Mathematik, 63. Vieweg. ISBN 3528072636; 978-3528072636.

Knebusch, Manfred (1989) Weakly semialgebraic spaces. Lecture Notes in Mathematics, 1367. Springer, Berlin. ISBN 3540508155; 978-3540508151.

Knebusch, Manfred and Delfs, Hans (1986) Locally semialgebraic spaces. Lecture Notes in Mathematics, 1173. Springer, Berlin. ISBN 3540160604; 978-3540160601.

Knebusch, Manfred and Delfs, Hans (1984) An introduction to locally semialgebraic spaces. Rocky Mountain Journal of Mathematics 14 (4), pp. 945-964.

Knebusch, Manfred (1984) An invitation to real spectra. In: Quadratic and Hermitian forms. Canad. Math. Soc. Conference Proceedings, 4. American Mathematical Society, pp. 51-105. ISBN 0821860089; 978-0821860083.

Knebusch, Manfred and Delfs, Hans (1984) Basic homotopy theory of locally semialgebraic spaces. Rocky Mountain Journal of Mathematics 14 (4), pp. 913-918.

Knebusch, Manfred and Delfs, Hans (1984) Separation, retractions and homotopy extension in semialgebraic spaces. Pacific Journal of Mathematics 114 (1), pp. 47-71.

Knebusch, Manfred (1982) An algebraic proof of the Borsak-Ulam theorem for polynomial mappings. Proceedings of the American Mathematical Society (PROC) 84, pp. 29-32.

Knebusch, Manfred (1982) Isoalgebraic Geometry: First steps. In: Bertin, M. J., (ed.) Progress in Mathemematics. Séminaire de Théorie des Nombres (Delange-Pisot-Poitou), 22. Birkhäuser, Boston, pp. 128-141.

Knebusch, Manfred and Delfs, Hans (1982) On the homology of algebraic varieties over real closed fields. Journal für die reine und angewandte Mathematik 335, pp. 122-163.

Knebusch, Manfred and Delfs, Hans (1982) Semialgebraic topology over a real closed field. In: Dubois, D. W. and Recio, T., (eds.) Ordered fields and real algebraic geometry. Proceedings of the special session on ordered fields and real algebraic geometry, 87th annual meeting of the AMS. Contemporary Mathematics, 8. American Mathematical Society, pp. 61-78. ISBN 0821850075; 978-0821850077.

Knebusch, Manfred, Choi, Man-Duen, Lam, Tsit-Yuen and Reznick, Bruce (1982) Transversal zeros and positive semidefinite forms. In: Géométrie algébrique réelle et formes quadratiques. Lecture Notes in Mathematics, 959. Springer, Berlin, pp. 273-298. ISBN 978-3-540-11959-3.

Knebusch, Manfred and Kolster, Manfred (1982) Wittringe. In: Diederich, Klas, (ed.) Aspects of Mathematics / Aspekte der Mathematik. Vieweg, Braunschwei, Wiesbaden. ISBN 3-528-08512-6.

Knebusch, Manfred and Delfs, Hans (1982) Zur Theorie der semialgebraischen Wege und Intervalle über einem reell abgeschlossenen Körper. In: Géométrie algébrique réelle et formes quadratiques. Lecture Notes in Mathematics, 959. Springer, Berlin, pp. 299-323. ISBN 978-3-540-11959-3.

Knebusch, Manfred (1981) On the local theory of signatures and reduced quadratic forms. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 51 (1), pp. 149-195.

Knebusch, Manfred and Delfs, Hans (1981) Semialgebraic topology over a real closed field I: Paths and components in the set of rational points of an algebraic variety. Mathematische Zeitschrift 177 (1), pp. 107-129.

Knebusch, Manfred and Delfs, Hans (1981) Semialgebraic topology over a real closed field II: Basic theory of semialgebraic spaces. Mathematische Zeitschrift 178 (2), pp. 175-213.

Knebusch, Manfred and Scharlau, W. (1980) Algebraic theory of quadratic forms: Generic methods and Pfister forms. DMV-Seminar, 1. Birkhäuser, Boston. ISBN 3764312068; 978-3764312060.

Knebusch, Manfred (1980) Signaturen, reelle Stellen und reduzierte quadratische Formen. Jahresbericht der Deutschen Mathematiker-Vereinigung 82 (3), pp. 109-127.

Knebusch, Manfred and Arason, J. K. (1978) Über die Grade quadratischer Formen. Mathematische Annalen 234 (2), pp. 167-192.

Knebusch, Manfred (1977) Generic splitting of quadratic forms II. Proceedings of the London Mathematical Society (3) 34, pp. 1-31.

Knebusch, Manfred (1977) Real closures of algebraic varieties. In: Orzech, G., (ed.) Conference on quadratic forms. Queen's papers in pure and applied mathematics, 46. Queens University, Kingston, Ontario, pp. 548-568.

Knebusch, Manfred (1977) Remarks on the paper "Equivalent topological properties of the space of signatures of a semilocal ring" by A. Rosenberg and R. Ware. Publicationes Mathematicae Debrecen 24 (1-2), pp. 181-188.

Knebusch, Manfred (1977) Signatures on Frobenius extensions. In: Zassenhaus, Hans, (ed.) Number Theory and Algebra. Academic Press, pp. 167-186. ISBN 0127763503; 978-0127763507.

Knebusch, Manfred (1977) Symmetric bilinear forms over algebraic varieties. In: Orzech, G., (ed.) Conference on quadratic forms. Queen's papers in pure and applied mathematics, 46. Queens University, Kingston, Ontario, pp. 103-283.

Knebusch, Manfred and Wright, Michael J. (1976) Bewertungen mit reeller Henselierung. Journal für die reine und angewandte Mathematik 286/28, pp. 314-321.

Knebusch, Manfred (1976) Generic splitting of quadratic forms I. Proceedings of the London Mathematical Society (3) 33 (1), pp. 65-93.

Knebusch, Manfred (1976) On algebraic curves over real closed fields. I. Mathematische Zeitschrift 150 (1), pp. 49-70.

Knebusch, Manfred (1976) On algebraic curves over real closed fields. II. Mathematische Zeitschrift 151 (2), pp. 189-205.

Knebusch, Manfred (1976) Real closures of commutative rings II. Journal für die reine und angewandte Mathematik 286/28, pp. 278-313.

Knebusch, Manfred (1975) Generalization of a theorem of Artin-Pfister to arbitrary semi-local rings and related topics. Journal of Algebra 36, pp. 46-67.

Knebusch, Manfred (1975) Real closures of commutative rings I. Journal für die reine und angewandte Mathematik 274/27, pp. 61-89.

Knebusch, Manfred and Baeza, Ricardo (1974) Annullatoren von Pfisterformen über semilokalen Ringen. Mathematische Zeitschrift 140 (1), pp. 41-62.

Knebusch, Manfred (1973) On the extension of real places. Commentarii Mathematici Helvetici 48 (1), pp. 354-369.

Knebusch, Manfred (1973) Real closures of semi-local rings and extension of real places. Bulletin of the American Mathematical Society 79 (1), pp. 79-81.

Knebusch, Manfred, Rosenberg, Alex and Ware, Roger (1973) Signatures on semi-local rings. Journal of Algebra 26, pp. 208-250.

Knebusch, Manfred (1973) Specialization of quadratic and symmetric bilinear forms and a norm theorem. Acta Arithmetica 24, pp. 279-299.

Knebusch, Manfred, Rosenberg, Alex and Ware, Roger (1972) Grothendieck and Wittrings of hermetian forms over Dedekind rings. Pacific Journal of Mathematics 43 (3), pp. 657-673.

Knebusch, Manfred (1972) On the uniqueness of real closures and the existence of real places. Commentarii Mathematici Helvetici 47, pp. 260-269.

Knebusch, Manfred, Rosenberg, Alex and Ware, Roger (1972) Structure of Wittrings and Quotients of Abelian Group Rings. American Journal of Mathematics 94 (1), pp. 119-155.

Knebusch, Manfred (1971) Ein Satz über die Werte von quadratischen Formen über Körpern. Inventiones Mathematicae 12 (4), pp. 300-303.

Knebusch, Manfred and Scharlau, W. (1971) Quadratische Formen und quadratische Reziprozitätsgesetze über algebraischen Zahlkörpern. Mathematische Zeitschrift 121 (4), pp. 346-368.

Knebusch, Manfred (1971) Runde Formen über semilokalen Ringen. Mathematische Annalen 193 (1), pp. 21-34.

Knebusch, Manfred, Rosenberg, Alex and Ware, Roger (1971) Signatures on semi-local rings; research announcement. Bulletin of the American Mathematical Society 78 (1), pp. 62-64.

Knebusch, Manfred, Rosenberg, Alex and Ware, Roger (1971) Structure of Wittrings, quotients of abelian grouprings, and orderings of fields. Bulletin of the American Mathematical Society 77 (2), pp. 205-210.

Knebusch, Manfred (1971) Wittgruppen von symmetrisch bilinearen gittern über Bewertungsringen. Other, UNSPECIFIED.

Knebusch, Manfred and Scharlau, W. (1971) Über das Verhalten der Witt-Gruppe bei galoischen Körpererweiterungen. Mathematische Annalen 193 (3), pp. 189-196.

Knebusch, Manfred (1970) Bemerkungen zur Theorie der quadratischen Formen über semilokalen Ringen. Other, UNSPECIFIED.

Knebusch, Manfred, Geyer, W. D., Harder, G. and Scharlau, W. (1970) Ein Residuensatz für symmetrische Bilinearformen. Inventiones Mathematicae 11 (4), pp. 319-328.

Knebusch, Manfred (1970) Grothendieck- und Wittringe von nichtausgearteten symmetrischen Bilinearformen. Habilitation, UNSPECIFIED.

Knebusch, Manfred (1969) Isometrien über semilokalen Ringen. Mathematische Zeitschrift 108 (4), pp. 225-268.

Knebusch, Manfred (1967) Elementarteilertheorie über Maximalordnungen. Journal für die reine und angewandte Mathematik 226, pp. 175-183.

Knebusch, Manfred (1965) Assoziierte Vektoren in maximalen gittern lokaler quadratischer Räume. Mathematische Zeitschrift 89 (3), pp. 213-223.

Knebusch, Manfred (1965) Der Begriff der Ordnung einer Jordanalgebra. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 28 (3-4), pp. 168-184.

Knebusch, Manfred (1965) Eine Klasse von Ordnungen in Jordanalgebren vom Grade 3. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 28 (3-4), pp. 185-207.