An approach to Hopf algebras via Frobenius coordinates.
Displaying 21 – 40 of 129
Applications of epigroups to graded ring theory.
A.V. Kelarev (1995)
Semigroup forum
Assoziative Tripelsysteme.
Ottmar Loos (1972)
Manuscripta mathematica
Automorphism liftable modules
Chelliah Selvaraj, Sudalaimuthu Santhakumar (2018)
Commentationes Mathematicae Universitatis Carolinae
We introduce the notion of an automorphism liftable module and give a characterization to it. We prove that category equivalence preserves automorphism liftable. Furthermore, we characterize semisimple rings, perfect rings, hereditary rings and quasi-Frobenius rings by properties of automorphism liftable modules. Also, we study automorphism liftable modules with summand sum property (SSP) and summand intersection property (SIP).
Character modules, submodules of a free module, and quasi-Frobenius rings.
Kiiti Morita, Hiroyuki Tachikawa (1956)
Mathematische Zeitschrift
Characterizations of semiperfect and perfect rings.
Weimin Xue (1996)
Publicacions Matemàtiques
We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.
Coefficient subrings of certain local rings with prime-power characteristic.
Sumiyama, Takao (1995)
International Journal of Mathematics and Mathematical Sciences
Cofinitely semiperfect modules.
Çalışıcı, Hamza, Pancar, Ali (2005)
Sibirskij Matematicheskij Zhurnal
Decomposition of Modules over Right Uniserial Rings.
Vlastimil Dlab, Claus Michael Ringel (1972)
Mathematische Zeitschrift
Die absteigende Loewy-Länge von Endomorphismenringen.
Rainer Schulz (1983)
Manuscripta mathematica
Die Struktur von projektiven Moduln.
U. Oberst, H.-J. Schneider (1971)
Inventiones mathematicae
Differentially trivial Noetherian semiperfect rings.
Artemovych, O.D. (2002)
Mathematica Pannonica
Duality Theorem of Character Modules for Rings with Minimum Condition.
Hiroyuki Tachikawa (1957/1958)
Mathematische Zeitschrift
Épimorphismes plats à buts locaux, quasi-locaux et semi-locaux
A. Hudry (1975)
Publications du Département de mathématiques (Lyon)
Erratum to "On rings with a unique proper essential right ideal" (Fund. Math. 183 (2004), 229-244)
O. A. S. Karamzadeh, M. Motamedi, S. M. Shahrtash (2009)
Fundamenta Mathematicae
Exact sequences of pairs in commutative rings
R. Kiełpiński, G. Simson, A. Tyc (1978)
Fundamenta Mathematicae
Exchange Rings and Decompositions of Modules.
R.B. jr. Warfield (1972)
Mathematische Annalen
Fastgeordnete und geordnete lokale Ringe und ihre geometrische Anwendung
František Machala (1981)
Časopis pro pěstování matematiky
FP-injective and weakly quasi-Frobenius rings.
Garkusha, G.A. (2002)
Zapiski Nauchnykh Seminarov POMI
Frobenius n-group algebras
Biljana Zeković (2002)
Discussiones Mathematicae - General Algebra and Applications
Frobenius algebras play an important role in the representation theory of finite groups. In the present work, we investigate the (quasi) Frobenius property of n-group algebras. Using the (quasi-) Frobenius property of ring, we can obtain some information about constructions of module category over this ring ([2], p. 66-67).