T. Albu and P. F. Smith, Dual Krull dimension and duality, Rocky Mountain
J. Math., 29 (1999), 1153-1165.
T. Albu and P. Vamos, Global Krull dimension and global dual Krull dimension
of valuation rings, Abelian groups, module theory, and topology (Padua, 1997),
Lecture Notes in Pure and Appl. Math., 201, Dekker, New York, (1998), 37-54.
F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Second
edition, Graduate Texts in Mathematics, 13, Springer-Verlag, New York, 1992.
L. Chambless, N-Dimension and N-critical modules, application to Artinian
modules, Comm. Algebra, 8(16) (1980), 1561-1592.
M. Davoudian, Dimension of non-finitely generated submodules, Vietnam J.
Math., 44 (2016), 817-827.
M. Davoudian, On alpha-quasi short modules, Int. Electron. J. Algebra, 21 (2017),
91-102.
M. Davoudian, Modules satisfying double chain condition on nonnitely generated submodules have Krull dimension, Turkish J. Math., 41 (2017), 1570-1578.
M. Davoudian, Modules with chain condition on non-finitely generated submodules, Mediterr. J. Math., 15(1) (2018), Art. 1 (12 pp).
M. Davoudian, On alpha-semi-short modules, J. Algebr. Syst., 6 (2019), 91-99.
M. Davoudian, Dimension on non-essential submodules, J. Algebra Appl.,
18(5) (2019), 1950089, DOI: 10.1142/S0219498819500890.
M. Davoudian and O. Ghayour, The lengths of Artinian modules with countable
Noetherian dimensions, Bull. Iranian Math. Soc., 43(6) (2017), 1621-1628.
M. Davoudian, A. Halali and N. Shirali, On alpha-almost Artinian modules, Open
Math., 14 (2016), 404-413.
M. Davoudian and O. A. S. Karamzadeh, Artinian serial modules over commutative (or, left Noetherian) rings are at most one step away from being
Noetherian, Comm. Algebra, 44 (2016), 3907-3917.
M. Davoudian, O. A. S. Karamzadeh and N. Shirali, On alpha-short modules,
Math. Scand., 114(1) (2014), 26-37.
M. Davoudian, O. A. S. Karamzadeh and N. Shirali, Erratum to On alpha-short
modules, ResearchGate, researchgate.net/prole/OAS Karamzadeh/research,
June 2018, DOI: 10.13140/RG.2.2.36116.81280.
M. Davoudian and N. Shirali, On alpha-tall modules, Bull. Malays. Math. Sci. Soc.,
41 (2018), 1739-1747.
R. Gordon and J. C. Robson, Krull Dimension, Memoirs of the American
Mathematical Society, No. 133, American Mathematical Society, Providence,
R.I., 1973.
J. Hashemi, O. A. S. Karamzadeh and N. Shirali, Rings over which the Krull
dimension and Noetherian dimension of all modules coincide, Comm. Algebra,
37(2) (2009), 650-662.
J. Hein, Almost Artinian modules, Math. Scand., 45 (1979), 198-204.
O. A. S. Karamzadeh, Noetherian-Dimension, Ph.D. thesis, Exeter, 1974.
O. A. S. Karamzadeh and M. Motamedi, On alpha-DICC modules, Comm. Algebra, 22 (1994), 1933-1944.
O. A. S. Karamzadeh and M. Motamedi, Erratum to On alpha-DICC modules,
Comm. Algebra, 22(6) (1994), 1933-1944, Comm. Algebra, 46 (2018), 2927.
O. A. S. Karamzadeh and A. R. Sajedinejad, Atomic modules, Comm. Algebra,
29(7) (2001), 2757-2773.
O. A. S. Karamzadeh and A. R. S. Nejad, On the Loewy length and the Noetherian dimension of Artinian modules, Comm. Algebra, 30 (2002), 1077-1084.
O. A. S. Karamzadeh and N. Shirali, On the countablity of Noetherian dimension of modules, Comm. Algebra, 32 (2004), 4073-4083.
G. Krause, Descending chains of submodules and the Krull-dimension of Noetherian modules, J. Pure Appl. Algebra, 3 (1973), 385-397.
B. Lemonnier, Deviation des ensembles et groupes abeliens totalement ordonnes, Bull. Sci. Math., 96 (1972), 289-303 (in French).
R. N. Roberts, Krull dimension for Artinian modules over quasi local commutative rings, Quart. J. Math. Oxford Ser. (2), 26(103) (1975), 269-273.
T. Albu and P. F. Smith, Dual Krull dimension and duality, Rocky Mountain
J. Math., 29 (1999), 1153-1165.
T. Albu and P. Vamos, Global Krull dimension and global dual Krull dimension
of valuation rings, Abelian groups, module theory, and topology (Padua, 1997),
Lecture Notes in Pure and Appl. Math., 201, Dekker, New York, (1998), 37-54.
F. W. Anderson and K. R. Fuller, Rings and Categories of Modules, Second
edition, Graduate Texts in Mathematics, 13, Springer-Verlag, New York, 1992.
L. Chambless, N-Dimension and N-critical modules, application to Artinian
modules, Comm. Algebra, 8(16) (1980), 1561-1592.
M. Davoudian, Dimension of non-finitely generated submodules, Vietnam J.
Math., 44 (2016), 817-827.
M. Davoudian, On alpha-quasi short modules, Int. Electron. J. Algebra, 21 (2017),
91-102.
M. Davoudian, Modules satisfying double chain condition on nonnitely generated submodules have Krull dimension, Turkish J. Math., 41 (2017), 1570-1578.
M. Davoudian, Modules with chain condition on non-finitely generated submodules, Mediterr. J. Math., 15(1) (2018), Art. 1 (12 pp).
M. Davoudian, On alpha-semi-short modules, J. Algebr. Syst., 6 (2019), 91-99.
M. Davoudian, Dimension on non-essential submodules, J. Algebra Appl.,
18(5) (2019), 1950089, DOI: 10.1142/S0219498819500890.
M. Davoudian and O. Ghayour, The lengths of Artinian modules with countable
Noetherian dimensions, Bull. Iranian Math. Soc., 43(6) (2017), 1621-1628.
M. Davoudian, A. Halali and N. Shirali, On alpha-almost Artinian modules, Open
Math., 14 (2016), 404-413.
M. Davoudian and O. A. S. Karamzadeh, Artinian serial modules over commutative (or, left Noetherian) rings are at most one step away from being
Noetherian, Comm. Algebra, 44 (2016), 3907-3917.
M. Davoudian, O. A. S. Karamzadeh and N. Shirali, On alpha-short modules,
Math. Scand., 114(1) (2014), 26-37.
M. Davoudian, O. A. S. Karamzadeh and N. Shirali, Erratum to On alpha-short
modules, ResearchGate, researchgate.net/prole/OAS Karamzadeh/research,
June 2018, DOI: 10.13140/RG.2.2.36116.81280.
M. Davoudian and N. Shirali, On alpha-tall modules, Bull. Malays. Math. Sci. Soc.,
41 (2018), 1739-1747.
R. Gordon and J. C. Robson, Krull Dimension, Memoirs of the American
Mathematical Society, No. 133, American Mathematical Society, Providence,
R.I., 1973.
J. Hashemi, O. A. S. Karamzadeh and N. Shirali, Rings over which the Krull
dimension and Noetherian dimension of all modules coincide, Comm. Algebra,
37(2) (2009), 650-662.
J. Hein, Almost Artinian modules, Math. Scand., 45 (1979), 198-204.
O. A. S. Karamzadeh, Noetherian-Dimension, Ph.D. thesis, Exeter, 1974.
O. A. S. Karamzadeh and M. Motamedi, On alpha-DICC modules, Comm. Algebra, 22 (1994), 1933-1944.
O. A. S. Karamzadeh and M. Motamedi, Erratum to On alpha-DICC modules,
Comm. Algebra, 22(6) (1994), 1933-1944, Comm. Algebra, 46 (2018), 2927.
O. A. S. Karamzadeh and A. R. Sajedinejad, Atomic modules, Comm. Algebra,
29(7) (2001), 2757-2773.
O. A. S. Karamzadeh and A. R. S. Nejad, On the Loewy length and the Noetherian dimension of Artinian modules, Comm. Algebra, 30 (2002), 1077-1084.
O. A. S. Karamzadeh and N. Shirali, On the countablity of Noetherian dimension of modules, Comm. Algebra, 32 (2004), 4073-4083.
G. Krause, Descending chains of submodules and the Krull-dimension of Noetherian modules, J. Pure Appl. Algebra, 3 (1973), 385-397.
B. Lemonnier, Deviation des ensembles et groupes abeliens totalement ordonnes, Bull. Sci. Math., 96 (1972), 289-303 (in French).
R. N. Roberts, Krull dimension for Artinian modules over quasi local commutative rings, Quart. J. Math. Oxford Ser. (2), 26(103) (1975), 269-273.
Davoudian, M. (2019). ON α-ALMOST QUASI ARTINIAN MODULES. International Electronic Journal of Algebra, 26(26), 29-40. https://doi.org/10.24330/ieja.586913
AMA
Davoudian M. ON α-ALMOST QUASI ARTINIAN MODULES. IEJA. Temmuz 2019;26(26):29-40. doi:10.24330/ieja.586913
Chicago
Davoudian, Maryam. “ON α-ALMOST QUASI ARTINIAN MODULES”. International Electronic Journal of Algebra 26, sy. 26 (Temmuz 2019): 29-40. https://doi.org/10.24330/ieja.586913.
EndNote
Davoudian M (01 Temmuz 2019) ON α-ALMOST QUASI ARTINIAN MODULES. International Electronic Journal of Algebra 26 26 29–40.
IEEE
M. Davoudian, “ON α-ALMOST QUASI ARTINIAN MODULES”, IEJA, c. 26, sy. 26, ss. 29–40, 2019, doi: 10.24330/ieja.586913.
ISNAD
Davoudian, Maryam. “ON α-ALMOST QUASI ARTINIAN MODULES”. International Electronic Journal of Algebra 26/26 (Temmuz 2019), 29-40. https://doi.org/10.24330/ieja.586913.
JAMA
Davoudian M. ON α-ALMOST QUASI ARTINIAN MODULES. IEJA. 2019;26:29–40.
MLA
Davoudian, Maryam. “ON α-ALMOST QUASI ARTINIAN MODULES”. International Electronic Journal of Algebra, c. 26, sy. 26, 2019, ss. 29-40, doi:10.24330/ieja.586913.
Vancouver
Davoudian M. ON α-ALMOST QUASI ARTINIAN MODULES. IEJA. 2019;26(26):29-40.