Add to ORKGThis paper tackles a problem on the possible transfer of regularity to tensor products of algebras over a field $k$. The main result establishes necessary and sufficient conditions for a Noetherian tensor product of two extension fields of $k$ to inherit regularity in various settings of separability. Thereby, we provide some applications as well as several original examples to illustrate or delimit the scope of the established results
AbstractIn this paper, we establish a Composition–Diamond lemma for the tensor product k〈X〉⊗k〈Y〉 of ...
We prove that A(R)(G) circle times(R) A(R)(H) congruent to A(R)(G x H) if G and H are Hausdor ff amp...
AbstractIn this paper we study ∗-regularity and uniqueness of C∗-norm for tensor products of ∗-algeb...
Abstract — This paper presents the study of algebraic tensor products of C*- algebras and extension ...
We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens ...
Abstract. Let A and B be Arens regular then we want to know which condition we need that the project...
Our aim in this article is to study a problem originally raised by Grothendieck. We show that the ap...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
20 pagesLet A be a central simple algebra over a field F. Let k_1,\ldots, k_r be cyclic extensions o...
AbstractIn this paper we solve a problem, originally raised by Grothendieck, on the properties, i.e....
AbstractIn this paper we solve a problem, originally raised by Grothendieck, on the transfer of Cohe...
AbstractIn this paper we study ∗-regularity and uniqueness of C∗-norm for tensor products of ∗-algeb...
AbstractWe show that, if A is a finite-dimensional ∗-simple associative algebra with involution (ove...
We review and study the Künneth theorem for tensor products of C^*-algebras，which is obtained by Cla...
Groups preserving a distributive product are encountered often in algebra. Examples include automorp...
AbstractIn this paper, we establish a Composition–Diamond lemma for the tensor product k〈X〉⊗k〈Y〉 of ...
We prove that A(R)(G) circle times(R) A(R)(H) congruent to A(R)(G x H) if G and H are Hausdor ff amp...
AbstractIn this paper we study ∗-regularity and uniqueness of C∗-norm for tensor products of ∗-algeb...
Abstract — This paper presents the study of algebraic tensor products of C*- algebras and extension ...
We investigate symmetric regularity of sums of symmetric tensor products of Banach spaces and Arens ...
Abstract. Let A and B be Arens regular then we want to know which condition we need that the project...
Our aim in this article is to study a problem originally raised by Grothendieck. We show that the ap...
Abstract. Given a field F, an étale extension L/F and an Azumaya algebra A/L, one knows that there a...
20 pagesLet A be a central simple algebra over a field F. Let k_1,\ldots, k_r be cyclic extensions o...
AbstractIn this paper we solve a problem, originally raised by Grothendieck, on the properties, i.e....
AbstractIn this paper we solve a problem, originally raised by Grothendieck, on the transfer of Cohe...
AbstractIn this paper we study ∗-regularity and uniqueness of C∗-norm for tensor products of ∗-algeb...
AbstractWe show that, if A is a finite-dimensional ∗-simple associative algebra with involution (ove...
We review and study the Künneth theorem for tensor products of C^*-algebras，which is obtained by Cla...
Groups preserving a distributive product are encountered often in algebra. Examples include automorp...
AbstractIn this paper, we establish a Composition–Diamond lemma for the tensor product k〈X〉⊗k〈Y〉 of ...
We prove that A(R)(G) circle times(R) A(R)(H) congruent to A(R)(G x H) if G and H are Hausdor ff amp...
AbstractIn this paper we study ∗-regularity and uniqueness of C∗-norm for tensor products of ∗-algeb...