References
-
A. Badawi, On abelian
$\pi$ -regular rings, Comm. Algebra 25 (1997), no. 4, 1009-1021. https://doi.org/10.1080/00927879708825906 -
A. Badawi, On semicommutative
$\pi$ -regular rings, Comm. Algebra 22 (1994), no. 1, 151-157. https://doi.org/10.1080/00927879408824837 - V. Camillo and P. P. Nielsen, McCoy rings and zero-divisors, J. Pure Appl. Algebra 212 (2008), no. 3, 599-615. https://doi.org/10.1016/j.jpaa.2007.06.010
- V. P. Camillo and H. P. Yu, Exchange rings, Units and idempotents, Comm. Algebra 22 (1994), no. 12, 4737-4749. https://doi.org/10.1080/00927879408825098
- H. Chen, Units, idempotents, and stable range conditions, Comm. Algebra 29 (2001), no. 2, 703-717. https://doi.org/10.1081/AGB-100001535
- P. Crawley and B. Jonsson, Refinements for infinite direct decompositions of algebraic systems, Pacific J. Math. 14 (1964), 797-855. https://doi.org/10.2140/pjm.1964.14.797
- G. Ehrlich, Unit-regular rings, Port. Math. 27 (1968), 209-212.
- J. W. Fisher and R. L. Snider, Rings generated by their units, J. Algebra 42 (1976), no. 2, 363-368. https://doi.org/10.1016/0021-8693(76)90103-4
- L. Gillman and M. Jerison, Rings of Continuous Functions, The University Series in Higher Mathematics, D. Van Nostrand Co., Princeton, N. J., 1960.
- K. R. Goodearl and P. Menal, Stable range one for ring with many units, J. Pure Appl. Algebra 54 (1988), no. 2-3, 261-287. https://doi.org/10.1016/0022-4049(88)90034-5
- M. Henriksen, Two classes of rings generated by their units, J. Algebra 31 (1974), 182-193. https://doi.org/10.1016/0021-8693(74)90013-1
- A. V. Kelarev, Ring Constructions and Applications, World Scientific, New Jersey, 2002.
- W. K. Nicholson, Lifting idempotents and exchange rings, Trans. Amer. Math. Soc. 229 (1977), 269-278. https://doi.org/10.1090/S0002-9947-1977-0439876-2
- J. Okninski, Semigroup Algebras, Marcel Dekker, INC, New York, 1991.
- R. Raphael, Rings which are generated by their units, J. Algebra 28 (1974), 199-205. https://doi.org/10.1016/0021-8693(74)90032-5
- J. Stock, On rings whose projective modules have the exchange property, J. Algebra 103 (1986), no. 2, 437-453. https://doi.org/10.1016/0021-8693(86)90145-6
- A. A. Tuganbaev, Rings and modules with exchange properties, J. Math. Sci. (N.Y.) 110 (2002), no. 1, 2348-2421. https://doi.org/10.1023/A:1014958025082
- P. Vamos, 2-good rings, Q. J. Math. 56 (2005), no. 3, 417-430. https://doi.org/10.1093/qmath/hah046
- L. N. Vaserstein, Bass's first stable range condition, J. Pure Appl. Algebra 34 (1984), no. 2-3, 319-330. https://doi.org/10.1016/0022-4049(84)90044-6
- R. B. Warfield, Exchange rings and decomposition of modules, Math. Ann. 199 (1972), 31-36. https://doi.org/10.1007/BF01419573
- G. S. Xiao and W. T. Tong, n-clean rings, Algebra Colloq. 13 (2006), no. 4, 599-606. https://doi.org/10.1142/S1005386706000538
- Y. Q. Ye, Semiclean rings, Comm. Algebra 31 (2003), no. 11, 5609-5625. https://doi.org/10.1081/AGB-120023977
- H. P. Yu, On the structure of exchange rings, Comm. Algebra 25 (1997), no. 2, 661-670. https://doi.org/10.1080/00927879708825882
- B. Zimmermann-Huisgen and W. Zimmermann, Classes of modules with the exchange property, J. Algebra 88 (1984), no. 2, 416-434. https://doi.org/10.1016/0021-8693(84)90075-9
Cited by
- Some New Results on Skew Triangular Matrix Rings with Constant Diagonal 2016, https://doi.org/10.1007/s10013-016-0229-4
- A study on skew Hurwitz series rings 2016, https://doi.org/10.1007/s11587-016-0305-9
- Study of skew inverse Laurent series rings 2017, https://doi.org/10.1142/S0219498817502218
- On 2-nil-good rings 2018, https://doi.org/10.1142/S0219498818501104