On a finite dimensional quasi-simple module
K Koh, J Luh - Proceedings of the American Mathematical Society, 1970 - JSTOR
… the following: Let M be a faithful quasi-simple R-module for some ring R and let Ml be …
quasi-simple module. Conversely, if R has a faithful finite dimensional quasi-simple right module M …
quasi-simple module. Conversely, if R has a faithful finite dimensional quasi-simple right module M …
Quasi-simple modules and weak transitivity
AC Mewborn - Ring Theory, 1972 - Elsevier
… hull of a quasi-simple module (see Definition 2.1) and D = Hom R (V, V). In this paper we
show that a module TM is the quasi-injective hull of a V quasi-simple module if and only if (1) ^…
show that a module TM is the quasi-injective hull of a V quasi-simple module if and only if (1) ^…
Quasisimple modules and other topics in ring theory
PM Cohn, V Dlab, CM Ringel, C Faith, L Fuchs… - … on Rings and Modules, 1972 - Springer
… the simple modules, the injective hulls of modules and rings and the quasi-simple modules.
… If R is a ring and M is a faithful simple (right) R-module then M is a vector space over its …
… If R is a ring and M is a faithful simple (right) R-module then M is a vector space over its …
Generalization of quasi-modular extensions
EH Fliouet - Homological and Combinatorial Methods in Algebra …, 2018 - Springer
… In the following, we will say that K/k is lq-modular (respectively, uq-modular) if lm(K/k)/k (respectively…
that satisfies the previous statement will be called extension q-simple (quasi-simple). …
that satisfies the previous statement will be called extension q-simple (quasi-simple). …
[引用][C] Elementary modules
O Kerner, F Lukas - Mathematische Zeitschrift, 1996 - Springer
… indecomposable regular module, say X = [m]U for U quasisimple, … modules are bricks. It is
well known (see [9]) that for a wild hereditary algebra there always exist quasisimple modules …
well known (see [9]) that for a wild hereditary algebra there always exist quasisimple modules …
Quasi-simple modules and Loewy lengths in modular representations of reductive Lie algebras
YY Li, B Shu, YF Yao - arXiv preprint arXiv:2103.00431, 2021 - arxiv.org
… of $U_\chi({\frak g})$-modules) by replacing $\widehat L_\chi(\lambda)… quasi-simple modules,
we get a formula on the Loewy lengths of standard modules and proper standard modules …
we get a formula on the Loewy lengths of standard modules and proper standard modules …
[PDF][PDF] Constructing large modules over artin algebras
H Krause - Journal of Algebra, 1997 - Citeseer
… X belonging to a quasiserial component is called quasi-serial, and X is quasi-simple if there
… 6 i module X depends, up to isomorphism, only on X. If Y is a second quasi-simple module, …
… 6 i module X depends, up to isomorphism, only on X. If Y is a second quasi-simple module, …
On the quasi-simple irreducible representations of the Lorentz groups
E Thieleker - Transactions of the American Mathematical Society, 1973 - ams.org
… This relationship enables us to apply some results of Harish-Chandra to obtain a complete
classification of the irreducible quasisimple representations of G(n) up to infinitesimal …
classification of the irreducible quasisimple representations of G(n) up to infinitesimal …
Quasi-serial components of strictly wild algebras
H Nagase - Communications in Algebra, 2000 - Taylor & Francis
… N with [N] in a quasi-serial component is called quasi-simple if the middle … a quasi-simple
module N with [N] in a quasi-serial component we denote by N(n) an indecomposable module …
module N with [N] in a quasi-serial component we denote by N(n) an indecomposable module …
Minimum polynomials of the elements of prime order in representations of quasi-simple groups
AE Zalesski - Journal of Algebra, 2008 - Elsevier
… We determine the irreducible representations of quasi-simple groups in which some element
of … The bulk of the work is to determine quasi-simple Np-groups. This is done in the current …
of … The bulk of the work is to determine quasi-simple Np-groups. This is done in the current …