[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c200069

EXACTNESS OF COCHAIN COMPLEXES VIA ADDITIVE FUNCTORS

Campanini, Federico (Dipartimento di Matematica "Tullio Levi-Civita" Universita di Padova)
Facchini, Alberto (Dipartimento di Matematica "Tullio Levi-Civita" Universita di Padova)

Publication Information

Communications of the Korean Mathematical Society / v.35, no.4, 2020 , pp. 1075-1085 More about this Journal

Abstract

We investigate the relation between the notion of e-exactness, recently introduced by Akray and Zebary, and some functors naturally related to it, such as the functor P : Mod-R → Spec(Mod-R), where Spec(Mod-R) denotes the spectral category of Mod-R, and the localization functor with respect to the singular torsion theory.

Keywords

Relative exactness of sequences; spectral category;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

1	I. Akray and A. Zebari, Essential exact sequences, Commun. Korean Math. Soc. 35 (2020), no. 2, 469-480. https://doi.org/10.4134/CKMS.c190243 DOI
2	M. J. Arroyo Paniagua, A. Facchini, M. Gran, and G. Janelidze, What is the spectral category?, in "Rings and Factorizations", A. Facchini, M. Fontana, A. Geroldinger, and B. Olberding Eds., Springer, New York, 2020, pp. 135-152.
3	A. Facchini, Module theory, Progress in Mathematics, 167, Birkhauser Verlag, Basel, 1998.
4	T. Fritz, Categories of fractions revisited, Morfismos 15 (2011), no. 2, 19-38.
5	P. Gabriel and U. Oberst, Spektralkategorien und regulare Ringe im von-Neumannschen Sinn, Math. Z. 92 (1966), 389-395. https://doi.org/10.1007/BF01112218 DOI
6	P. Gabriel and M. Zisman, Calculus of fractions and homotopy theory, Ergeb. Math. Grenzgeb, 35, Springer-Verlag New York, Inc., New York, 1967.
7	K. R. Goodearl, Ring Theory, Marcel Dekker, Inc., New York, 1976.
8	T. Y. Lam, Lectures on Modules and Rings, Graduate Texts in Mathematics, 189, Springer-Verlag, New York, 1999. https://doi.org/10.1007/978-1-4612-0525-8
9	B. Stenstrom, Rings of Quotients, Springer-Verlag, New York, 1975.