This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Ahsan, Rings characterized by their torsion cyclic modules, Houston J. Math (14), No. 3 (1988) 291–303.
V. Camillo and M.F. Yousif, CS-modules with acc or dcc on essential submodules (to appear in Comm. in Algeb.).
N.V. Dung, D.V. Huynh and R. Wisbauer, Quasi-injective modules with acc or dcc on essential submodules, Arch. Math (to appear).
K.R. Goodearl, Singular torsion and the splitting properties, Memoirs of the Amer. Math. Soc., No. 124 (1972).
S.K. Jain, S.R. López-Permouth and S.T. Rizvi, Continuous rings with acc on essentials are artinian, Proc. Amer. Math. Soc., Vol. 108, No. 3 (1990) 583–586.
S.K. Jain and S. Mohamed, Rings whose cyclic modules are continuous, J. Indian Math. Soc. 42 (1978) 197–202.
G.O. Michler and O.E. Villamayor, On rings whose simple modules are injective, J. Algeb. 25 (1973) 185–201.
S.H. Mohamed and B.J. Müller, Continuous and discrete modules, London Math. Soc. Lecture Note Series 147, Cambridge University Press (1990).
B.J. Müller and S.T. Rizvi, On injective and quasi-continuous modules, J. Pure and App. Algeb. 28 (1983) 197–262.
B.L. Osofsky and P.F. Smith, Cyclic modules whose quotients have complements direct summands (to appear in J. Algeb.).
S. Page and M.F. Yousif, Relative injectivity and chain conditions, Comm. Algeb. 17 (4) (1989) 899–924.
P.F. Smith and D.V. Huynh, Characterising rings by their modules, Banach Centre Publications (Warsaw) 26 (1989).
R.C. Shock, Dual generalizations of the artinian and Noetherian conditions, Pacific J. Math., Vol. 54, No. 2 (1974) 227–235.
M.F. Yousif, SI-modules, Math. J. Okayama Univ. 28 (1986) 133–146.
_____, V-modules with Krull dimension, Bull. Austral. Math. Soc., Vol. 37 (1988) 237–240.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1990 Springer-Verlag
About this paper
Cite this paper
Rizvi, S.T., Yousif, M.F. (1990). On continuous and singular modules. In: Jain, S.K., López-Permouth, S.R. (eds) Non-Commutative Ring Theory. Lecture Notes in Mathematics, vol 1448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091256
Download citation
DOI: https://doi.org/10.1007/BFb0091256
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-53164-7
Online ISBN: 978-3-540-46745-8
eBook Packages: Springer Book Archive