References
- Abuhlail, J. (2014a). Exact sequence of commutative monoids and semimodules. Homology Homotopy Appl. 16(1):199–214. DOI: 10.4310/HHA.2014.v16.n1.a12.
- Abuhlail, J. (2014b). Semicorings and semicomodules. Commun. Algebra 42(11):4801–4838.
- Abuhlail, J. Y., Il’in, S. N., Katsov, Y., Nam, T. G. (2015). On V-semirings and semirings all of whose cyclic semimodules are injective. Commun. Algebra 43(11):4632–4654. DOI: 10.1080/00927872.2014.930474.
- Abuhlail, J., Il’in, S., Katsov, Y., Nam, T. (2018). Toward homological characterization of semirings by e-injective semimodules. J. Algebra Appl. 17(4):1850059. DOI: 10.1142/S0219498818500597.
- Abuhlail, J., Noegraha, R. G. (2020). Pushouts and e-projective semimodules. Bull. Malays. Math. Sci. Soc. DOI: 10.1007/s40840-020-00956-1.
- Abuhlail, J., Noegraha, R. G. (preprint). Injective semimodules—revisited. Available at: https://arxiv.org/abs/1904.07708
- Abuhlail, J., Noegraha, R. G. (preprint). On k-Noetherian and k-Artinian semirings. Available at: https://arxiv.org/abs/1907.06149
- Adámek, J., Herrlich, H., Strecker, G. E. (2009). Abstract and Concrete Categories; the Joy of Cats. Dover Books on Mathematics. Dover: Dover Publications.
- Alarcon, F., Anderson, D. (1994). Commutative semirings and their lattices of ideals. Houston J. Math. 20:571–590.
- El Bashir, R., Hurt, J., Jančařı́k, A., Kepka, T. (2001). Simple commutative semirings. J. Algebra 236(1):277–306. DOI: 10.1006/jabr.2000.8483.
- Głazek, K. (2002). A Guide to the Literature on Semirings and Their Applications in Mathematics and Information Sciences. With Complete Bibliography. Dordrecht: Kluwer Academic Publishers.
- Golan, J. (1999). Semirings and Their Applications. Dordrecht: Kluwer Academic Publishers.
- Grillet, P. A. (2007). Abstract Algebra. 2nd ed. New York: Springer.
- Hebisch, U., Weinert, H. J. (1996). Semirings and semifields. In: Hazewinkel, M., ed. Handbook of Algebra. Vol. 1. Amsterdam: North-Holland, pp. 425–462.
- Hebisch, U., Weinert, H. J. (1998). Semirings: Algebraic Theory and Applications in Computer Science. New Jersey: World Scientific Publishing Co Pte Ltd.
- Il’in, S. N. (2010). Direct sums of injective semimodules and direct products of projective semimodules over semirings. Russ. Math. 54(10):27–37. DOI: 10.3103/S1066369X10100038.
- Il’in, S. N., Katsov, Y., Nam, T. G. (2017). Toward homological structure theory of semimodules: On semirings all of whose cyclic semimodules are projective. J. Algebra 476:238–266. DOI: 10.1016/j.jalgebra.2016.12.013.
- Katsov, Y., Nam, T. G. (2011). Morita equivalence and homological characterization of rings. J. Algbra Appl. 10(3):445–473.
- Katsov, Y., Nam, T. G., Tuyen, N. X. (2009). On subtractive semisimple semirings. Algebra Colloq. 16(03):415–426. DOI: 10.1142/S1005386709000406.
- Katsov, Y., Nam, T. G., Tuyen, N. X. (2011). More on subtractive semirings: Simpleness, perfectness, and related problems. Commun. Algebra 39(11):4342–4356. DOI: 10.1080/00927872.2010.524183.
- Katsov, Y., Nam, T., Zumbrägel, J. (2014). On simpleness of semirings and complete semirings. J. Algebra Appl. 13(06):1450015. DOI: 10.1142/S0219498814500157.
- Litvinov, G. L., Maslov, V. P. (2005). Idempotent Mathematics and Mathematical Physics. Contemporary Mathematics. Vol. 377. Providence, RI: American Mathematical Society.
- Takahashi, M. (1982). Extensions of semimodules I. Math. Sem. Notes Kobe Univ. 10:563–592.
- Wisbauer, R. (1991). Foundations of Module and Ring Theory. Reading, MA: Gordon and Breach.