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Articles

Generalization of Zorn’s lemma: maximal crossed ideals

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Pages 3727-3735 | Received 05 Dec 2019, Accepted 13 Mar 2021, Published online: 30 Mar 2021

References

  • Arslan, U. E. (2010). Nilpotent crossed modules of commutative algebras. Algebras Groups Geom. 27:63–72.
  • Arvasi, Z., Ege, U. (2003). Annihilator, multipliers and crossed modules. Appl. Categor. Struct. 11(6):487–506. DOI: 10.1023/A:1026135404762.
  • Arvasi, Z., Porter, T. (1996). Simplicial and crossed resolutions of commutative algebras. J. Algebra 181(2):426–448. DOI: 10.1006/jabr.1996.0128.
  • Ilgaz, E. (2013). Değişmeli cebirler için çaprazlanmş modüller üzerinde tamlamalar. Master’s Thesis. ESOGU.
  • Lavendhomme, R., Lucas, T. (1996). On modules and crossed modules. J. Algebra 179(3):936–963. DOI: 10.1006/jabr.1996.0046.
  • Lue, A. S. T. (1968). A non abelian cohomology of associative algebras. Q. J. Math. 19(1):159–180. DOI: 10.1093/qmath/19.1.159.
  • Mac Lane, S. (1958). Extensions and obstructions for rings. Illinois J. Math. 121:316–345.
  • Mac Lane, S., Whitehead, J. H. C. (1950). On the 3-type of a complex. Proc. Nat. Acad. Sci. 36(1):41–48. DOI: 10.1073/pnas.36.1.41.
  • Porter, T. (1987). Some categorical results in the theory of crossed modules in commutative algebras. J. Algebra 109(2):415–429. DOI: 10.1016/0021-8693(87)90147-5.
  • Shammu, N. M. (1992). Algebraic and categorical structure of category of crossed modules of algebras. Ph.D. Thesis. U.C.N.W.
  • Whitehead, J. H. C. (1949). Combinatorial homotopy II. Bull. Amer. Math. Soc. 55(5):453–456. DOI: 10.1090/S0002-9904-1949-09213-3.

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