Cite

M. M. Ali, Residual submodules of multiplication modules, Beiträge zur Algebra und Geometrie, 46 (2005), 405–422. Search in Google Scholar

D. D. Anderson, M. Winders, Idealization of a module, J. Commut. Algebra, 1 (1) (2009), 3-56. Search in Google Scholar

Y. Azimi, P. Sahandi and N. Shirmohammadi, Prüfer conditions under the amalgamated algebras, Commun. Algebra, 47(5) (2019), 2251–2261. Search in Google Scholar

A. Badawi, On weakly semiprime ideals of commutative rings, Beitr. Algebra Geom., 57 (2016) 589–597. Search in Google Scholar

E. M. Bouba, N. Mahdou, and M. Tamekkante, Duplication of a module along an ideal, Acta Math. Hungar., 154(1) (2018), 29-42. Search in Google Scholar

M. D’Anna and M. Fontana, An amalgamated duplication of a ring along an ideal: the basic properties, J. Algebra Appl., 6(3) (2007), 443–459. Search in Google Scholar

M. D’Anna, C.A. Finocchiaro, and M. Fontana, Properties of chains of prime ideals in an amalgamated algebra along an ideal, J. Pure Appl. Algebra, 214 (2010), 1633-1641. Search in Google Scholar

R. El Khalfaoui, N. Mahdou, P. Sahandi and N. Shirmohammadi, Amalgamated modules along an ideal, Commun. Korean Math. Soc., 36(1), (2021) 1-10. Search in Google Scholar

R. Gilmer, Multiplicative Ideal Theory. New York, NY, USA: Marcel Dekker, 1972. Search in Google Scholar

H. A. Khashan, A. B. Bani-Ata, J-ideals of commutative rings, International Electronic Journal of Algebra, 29 (2021), 148-164. Search in Google Scholar

H. A. Khashan, E. Yetkin Celikel,, Weakly J-ideals of commutative rings, Filomat, 36(2), (2022), 485–495. Search in Google Scholar

H. A. Khashan, E. Yetkin Celikel, Quasi J-ideals of commutative rings, Ricerche di Matematica, (2022), 1–13. Search in Google Scholar

S. Koc, U. Tekir, r-Submodules and sr-Submodules, Turkish Journal of Mathematics, 42(4) (2018), 1863-1876. Search in Google Scholar

T. K. Lee and Y. Zhou, Reduced modules, Rings, Modules, Algebras and Abelian Groups, 236 (2004), 365–377. Search in Google Scholar

R. Mohamadian, r-ideals in commutative rings, Turkish Journal of Mathematics, 39 (2015), 733-749. Search in Google Scholar

B. Saraç, On semiprime submodules, Communications in Algebra, 37(7) (2009), 2485–2495. Search in Google Scholar

P. Smith, Some remarks on multiplication modules, Arch. Math., 50 (1988), 223-235. Search in Google Scholar

U. Tekir, S. Koc and K. H. Oral, n-ideals of commutative rings, Filomat, 31(10) (2017), 2933–2941. Search in Google Scholar

E. Yetkin Celikel, Generalizations of n-ideals of Commutative Rings. Erzincan Universitesi Fen Bilimleri Enstitüsü Dergisi, 12(2) (2019), 650-657. Search in Google Scholar

E. Yetkin Celikel, H. A. Khashan, Semi n-ideals of commutative rings, Czechoslovak Mathematical Journal, 72(147) (2022), 977988. Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics