On Direct Summands of A-Separable R-Modules.
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Ulrich Albrecht (1990)
Forum mathematicum
K. Györy (1981)
Journal für die reine und angewandte Mathematik
Alicja Jaworska-Pastuszak, Andrzej Skowroński (2013)
Colloquium Mathematicae
We describe the structure of finite-dimensional algebras of domestic representation type over an algebraically closed field whose Auslander-Reiten quiver consists of generalized standard and semiregular components. Moreover, we prove that this class of algebras contains all special biserial algebras whose Auslander-Reiten quiver consists of semiregular components.
Alessandra Cherubini, Ada Varisco (1988)
Czechoslovak Mathematical Journal
Pete L. Clark (2006)
Journal de Théorie des Nombres de Bordeaux
Motivated by recent work of Florian Pop, we study the connections between three notions of equivalence of function fields: isomorphism, elementary equivalence, and the condition that each of a pair of fields can be embedded in the other, which we call isogeny. Some of our results are purely geometric: we give an isogeny classification of Severi-Brauer varieties and quadric surfaces. These results are applied to deduce new instances of “elementary equivalence implies isomorphism”: for all genus zero...
Aburawash, Usama A. (1997)
Mathematica Pannonica
Day, Brian, Pastro, Craig (2009)
Theory and Applications of Categories [electronic only]
Giorgio Piva (1988)
Rendiconti del Seminario Matematico della Università di Padova
Manfred Dugas, Rüdiger Göbel (1982)
Mathematische Annalen
J.L. Garcia Hernández, Gómez Pardo J.L. (1987)
Mathematische Zeitschrift
L.C.A. van LEEÜWEN (1975)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Refai, Mashhoor, Obiedat, Sofyan (1998)
International Journal of Mathematics and Mathematical Sciences
Mendes, D.I.C., Wiegandt, R. (2001)
Mathematica Pannonica
G. Kalajdžić (1995)
Publications de l'Institut Mathématique
Patchkoria, Alex (2006)
Journal of Homotopy and Related Structures
Balogh, Zsolt (2004)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Leonid F. Barannyk (2008)
Colloquium Mathematicae
Let G be a noncyclic abelian p-group and K be an infinite field of finite characteristic p. For every 2-cocycle λ ∈ Z²(G,K*) such that the twisted group algebra is of infinite representation type, we find natural numbers d for which G has infinitely many faithful absolutely indecomposable λ-representations over K of dimension d.
Marjan Sheibani Abdolyousefi, Neda Pouyan (2024)
Czechoslovak Mathematical Journal
A ring is feebly nil-clean if for any there exist two orthogonal idempotents and a nilpotent such that . Let be a 2-primal feebly nil-clean ring. We prove that every matrix ring over is feebly nil-clean. The result for rings of bounded index is also obtained. These provide many classes of rings over which every matrix is the sum of orthogonal idempotent and nilpotent matrices.
Andrusziewicz, R., Puczylowski, E.R. (1988)
Portugaliae mathematica
Gunnar Sjödin (1973)
Mathematica Scandinavica