@article{(Open Science Index):https://publications.waset.org/pdf/10011915,
	  title     = {Algebras over an Integral Domain and Immediate Neighbors},
	  author    = {Shai Sarussi},
	  country	= {},
	  institution	= {},
	  abstract     = {Let S be an integral domain with field of fractions F
and let A be an F-algebra. An S-subalgebra R of A is called S-nice
if R∩F = S and the localization of R with respect to S \0 is A.
Denoting by W the set of all S-nice subalgebras of A, and defining
a notion of open sets on W, one can view W as a T0-Alexandroff
space. A characterization of the property of immediate neighbors in
an Alexandroff topological space is given, in terms of closed and open
subsets of appropriate subspaces. Moreover, two special subspaces of
W are introduced, and a way in which their closed and open subsets
induce W is presented.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {15},
	  number    = {3},
	  year      = {2021},
	  pages     = {46 - 50},
	  ee        = {https://publications.waset.org/pdf/10011915},
	  url   	= {https://publications.waset.org/vol/171},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 171, 2021},
	}