Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Mehdi Parsinia"'
Autor:
Mehdi Parsinia
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 14, Iss 1, Pp 167-180 (2021)
Let $X$ be a zero-dimensional space and $C_c(X)$ denote the functionally countable subalgebra of $C(X)$. It is well known that $\beta_0X$ (the Banaschewski compactfication of $X$) is a quotient space of $\beta X$. In this article, we investigate a co
Externí odkaz:
https://doaj.org/article/3c1236deca534f7cbc56120f001fb44c
Autor:
Mehdi Parsinia
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 10, Iss 1, Pp 107-116 (2019)
In this paper, we introduce and study a mapping from the collection of all intermediate rings of $C(X)$ to the collection of all realcompactifications of $X$ contained in $beta X$. By establishing the relations between this mapping and its converse,
Externí odkaz:
https://doaj.org/article/3e45930420fc4869ad2c25704eb6a3d9
Publikováno v:
Quaestiones Mathematicae; Vol. 45 No. 6 (2022); 843–858
Intermediate rings A(X,K) of K-valued continuous functions lying between B(X,K) and C(X,K), defined over a zero dimensional space X, are investigated and studied in this article, here K stands for a countable subfield of ℝ. It is realized that the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6595847954b9ff9d198ee7bb53499422
https://doi.org/10.2989/16073606.2021.1899084
https://doi.org/10.2989/16073606.2021.1899084
Autor:
Themba Dube, Mehdi Parsinia
Publikováno v:
Bulletin of the Iranian Mathematical Society. 47:1069-1080
An ideal I of a commutative ring is called a $$z^{\circ }$$ -ideal if for every $$a\in I$$ , $$P_a\subseteq I$$ , where $$P_a$$ denotes the intersection of all minimal prime ideals of the ring that contain a. In this article, we study the sum of $$z^
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::01876c4e52642764f647e0e02ac28c01
https://doi.org/10.1007/s41980-020-00428-z
https://doi.org/10.1007/s41980-020-00428-z
Autor:
Mehdi Parsinia
Publikováno v:
Bulletin of the Iranian Mathematical Society. 46:1257-1266
In this paper, we give some properties of $$z^\circ $$ -ideals in intermediate rings of C(X) (i.e., subrings of C(X) containing $$C^*(X)$$ ). Moreover, some characterizations of almost P-spaces via intermediate rings of C(X) are established. Using th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4e8df53bea545f3a8187045fd40217aa
https://doi.org/10.1007/s41980-019-00324-1
https://doi.org/10.1007/s41980-019-00324-1
Autor:
Mehdi Parsinia, Fariborz Azarpanah
Publikováno v:
J. Commut. Algebra 12, no. 4 (2020), 459-466
Let [math] be a Tychonoff space and [math] be an intermediate subalgebra of [math] , i.e., [math] . We show that such subrings are precisely absolutely convex subalgebras of [math] . An ideal [math] in [math] is said to be a [math] -ideal if [math] ,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a39dda71d8bc14677acda11cb507ab5
https://doi.org/10.1216/jca.2020.12.459
https://doi.org/10.1216/jca.2020.12.459
Autor:
Mehdi Parsinia
Publikováno v:
Filomat. 32:319-328
A Tychonoff space X is called a P-space if Mp = Op for each p ? ?X. For a subring R of C(X), we call X an R-P-space, if Mp ? R = Op ? R for each p ? ?X. Various characterizations of R-P-spaces are investigated some of which follows from constructing
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2f559660a91a9b3153ede9602d3c390c
https://doi.org/10.2298/fil1801319p
https://doi.org/10.2298/fil1801319p
Autor:
Mehdi Parsinia
Publikováno v:
Quaestiones Mathematicae. 41:675-682
Let X be a Tychonoff space and A ( X ) be a subring of C ( X ) containing C *( X ). We introduce the notion of z v a -ideal in A ( X ). It is observed that the class of z v a -ideals contains the class of z a -ideals and is contained in the class of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ae5209cf7354f721de0bda428da146bb
https://doi.org/10.2989/16073606.2017.1401015
https://doi.org/10.2989/16073606.2017.1401015
Autor:
Mehdi Parsinia, A.R. Aliabad
Publikováno v:
Quaestiones Mathematicae. 40:63-73
Let A(X) be an intermediate subring of C(X) and I be an ideal of A(X). We give some topological characterizations for the smallest z-ideal Iz (A) containing I and the largest z-ideal Iz (A) contained in I. Using this, we generalize some facts in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1cb684978b4c461471badf311b8e091e
https://doi.org/10.2989/16073606.2017.1280708
https://doi.org/10.2989/16073606.2017.1280708
Autor:
Mehdi Parsinia
Publikováno v:
Commentationes Mathematicae Universitatis Carolinae. 57:261-270
Let $A(X)$ denote a subalgebra of $C(X)$ which is closed under local bounded inversion, briefly, an $LBI$-subalgebra. These subalgebras were first introduced and studied in Redlin L., Watson S., Structure spaces for rings of continuous functions with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b94002371d652af3527fb17c407db14f
https://doi.org/10.14712/1213-7243.2015.158
https://doi.org/10.14712/1213-7243.2015.158