@inproceedings{879ff38f37c349e691c88592cd85f6af,
title = "Ordering Orders and Quotient Rings",
abstract = "In the present paper, we introduce a general notion of quotient ring which is based on inverses along an element. We show that, on the one hand, this notion encompasses quotient rings constructed using various generalized inverses. On the other hand, such quotient rings can be viewed as Fountain–Gould quotient rings with respect to appropriate subsets. We also investigate the connection between partial order relations on a ring and on its ring of quotients.",
keywords = "Order relations, Quotient rings",
author = "Alexander Guterman and L{\'a}szl{\'o} M{\'a}rki and Pavel Shteyner",
note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.; International Conference on Semigroups and Applications, ICSAA 2019 ; Conference date: 09-12-2019 Through 12-12-2019",
year = "2021",
doi = "10.1007/978-981-33-4842-4_1",
language = "الإنجليزيّة",
isbn = "9789813348417",
series = "Springer Proceedings in Mathematics and Statistics",
pages = "1--17",
editor = "Romeo, {P. G.} and Volkov, {Mikhail V.} and Rajan, {A. R.}",
booktitle = "Semigroups, Categories, and Partial Algebras - ICSAA 2019",
}