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pro vyhledávání: '"Ali Rezaei Aliabad"'
Autor:
Ali Rezaei Aliabad, Morad Mahmoudi
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 15, Iss 1, Pp 35-58 (2021)
Let $C(L)$ be the ring of all continuous real functions on a frame $L$ and $S\subseteq{\mathbb R}$. An $\alpha\in C(L)$ is said to be an overlap of $S$, denoted by $\alpha\blacktriangleleft S$, whenever $u\cap S\subseteq v\cap S$ implies $\alpha(u)\l
Externí odkaz:
https://doaj.org/article/381515014c6b41fbbdfa19e04907de10
Publikováno v:
Journal of Mathematical Extension, Vol 10, Iss 4, Pp 19-33 (2016)
Externí odkaz:
https://doaj.org/article/4ff1a84e93314a7399eb993092c8db5d
Autor:
Morad Mahmoudi, Ali Rezaei Aliabad
Publikováno v:
Categories and General Algebraic Structures with Applications, Vol 15, Iss 1, Pp 35-58 (2021)
Let $C(L)$ be the ring of all continuous real functions on a frame $L$ and $S\subseteq{\mathbb R}$. An $\alpha\in C(L)$ is said to be an overlap of $S$, denoted by $\alpha\blacktriangleleft S$, whenever $u\cap S\subseteq v\cap S$ implies $\alpha(u)\l
Autor:
Ali Rezaei Aliabad, R. Mohamadian
Publikováno v:
Bulletin of the Iranian Mathematical Society. 48:1177-1192
A ring R is said to be a pz-ring (resp., psz-ring) whenever every prime ideal of R is a z-ideal (resp., sz-ideal). In this article, we introduce and investigate these concepts. We show that X is a P-space if and only if C(X) is a pz-ring; if and only
Publikováno v:
Volume: 49, Issue: 1 254-272
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
Let $R$ be a commutative ring, $Y\subseteq Spec(R)$ and $ h_Y(S)=\{P\in Y:S\subseteq P \}$, for every $S\subseteq R$. An ideal $I$ is said to be an $\mathcal{H}_Y$-ideal whenever it follows from $h_Y(a)\subseteq h_Y(b)$ and $a\in I$ that $b\in I$. A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f24bf44d779c595fc30a8a8a7fb92f94
https://dergipark.org.tr/tr/pub/hujms/issue/52287/455030
https://dergipark.org.tr/tr/pub/hujms/issue/52287/455030
Publikováno v:
Communications in Algebra. 41:325-341
If I and J are two ideals in a ring R, we call I a zJ-ideal if Ma ∩ J ⊆ I, ∀ a ∈ I, where Ma is the intersection of all maximal ideals containing a. Whenever J ⊈ I and I is a zJ-ideal, we say that I is a relative z-ideal or briefly a rez-id
Autor:
Ali Rezaei Aliabad, R. Mohamadian
Publikováno v:
Communications in Algebra. 39:701-717
The theory of z-ideals and z°-ideals, especially as pertaining to the ideal theory of C(X), the ring of continuous functions on a completely regular Hausdorff space X, has been attended to during the recent years; see Gillman and Jerison [9], Mason
Autor:
Ali Rezaei Aliabad
Publikováno v:
Czechoslovak Mathematical Journal. 56:1193-1206
Let {X α } α∈Λ be a family of topological spaces and x α ∈ X α , for every α ∈ Λ. Suppose X is the quotient space of the disjoint union of X α ’s by identifying x α ’s as one point σ. We try to characterize ideals of C(X) accordin