Results 41 to 50 of about 194,411 (117)

An Approach to Baer Criteria of Injectivity Versus Ideal Injectivity

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
This paper aims to investigate the Baer‐type criteria for the injectivity of S‐acts. Unlike modules over rings, where the Baer criterion for injectivity is valid, this criterion remains an open problem for acts over semigroups. Every injective S‐act is ideal injective, but the converse does not hold in general.
Hasan Barzegar, Anwar Saleh Alwardi
wiley   +1 more source

Higher-dimensional automorphic lie algebras [PDF]

, 2016
The paper presents the complete classification of Automorphic Lie Algebras based on sln(C)sln(C) , where the symmetry group G is finite and acts on sln(C)sln(C) by inner automorphisms, sln(C)sln(C) has no trivial summands, and where the poles are in ...
Sanders, Jan, Sara Lombardo (4425862), Knibbeler, Vincent; id_orcid, Sara Lombardo, Jan A. Sanders, Knibbeler, Vincent, Vincent Knibbeler (4742670), Jan A Sanders (8467083), Lombardo, Sara, Sanders, Jan A., Lombardo, Sara; id_orcid, Vincent Knibbeler   +11 more
core   +2 more sources

Study on Approximate C∗‐Bimultiplier and JC∗‐Bimultiplier in C∗‐Ternary Algebra

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
An additive‐quadratic mapping F:A×A⟶B is one that adheres to the following equations: Fr+s,t=Fr,t+Fs,t,Fr,s+t+Fr,s−t=22Fr,s+Fr,t. This paper leverages the fixed‐point method to investigate C∗‐bimultiplier and JC∗‐bimultiplier approximations on C∗‐ternary algebras. The focus is on the additive‐quadratic functional equation: Fr+s,t+u+Fr+s,t−u=2222Fr,t+Fr,
Mina Mohammadi, Javad Shokri, Saeid Ostadbashi, Abdul Rauf Khan   +3 more
wiley   +1 more source

On the Symmetric and Rees algebras of an ideal

Manuscripta Mathematica, 1979
Some necessary and sufficient conditions are given for the Rees and Symmetric Algebra of an ideal being canonically isomorphic. Some applications are obtained to the study of the relations between the generators of ideals which are maximal minors of a generic t by (t+1) matrix, prime ideals of finite projective dimension, almost complete intersections ...
openaire   +1 more source

On the Presentation and Cayley Graph of the Bruck–Reilly Idealization Semigroup

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Transferring constructions between different algebraic structures often reveals deep connections and enables the application of techniques from one theory to another. The idealization of the module over a ring, introduced by Nagata in 1962, has been a powerful tool in commutative algebra for decades.
Suha Wazzan, Nurten Urlu Ozalan, A. Sinan Cevik, Smritijit Sen   +3 more
wiley   +1 more source

The flat cover conjecture for monoid acts

Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.
Abstract We prove that the Flat Cover Conjecture holds for the category of (right) acts over any right‐reversible monoid S$S$, provided that the flat S$S$‐acts are closed under stable Rees extensions. The argument shows that the class F$\mathcal {F}$‐Mono (S$S$‐act monomorphisms with flat Rees quotient) is cofibrantly generated in such categories ...
Sean Cox
wiley   +1 more source

GL‐algebras in positive characteristic II: The polynomial ring

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract We study GL$\mathbf {GL}$‐equivariant modules over the infinite variable polynomial ring S=k[x1,x2,…,xn,…]$S = k[x_1, x_2, \ldots, x_n, \ldots]$ with k$k$ an infinite field of characteristic p>0$p > 0$. We extend many of Sam–Snowden's far‐reaching results from characteristic zero to this setting.
Karthik Ganapathy
wiley   +1 more source

Representation-finite tree algebras [PDF]

, 1981
Bongartz K, Ringel CM. Representation-finite tree algebras. In: Auslander M, Lluis E, eds. Representations of Algebras. Proceedings of the Third International Conference on Representations of Algebras, held in Puebla, Mexico, August 4 - 8, 1980.
Claus Michael Ringel, Ringel, Claus Michael, Bongartz, Klaus, Auslander, Maurice, Klaus Bongartz, Lluis, Emilo   +5 more
core   +1 more source

Structure theorems for braided Hopf algebras

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract We develop versions of the Poincaré–Birkhoff–Witt and Cartier–Milnor–Moore theorems in the setting of braided Hopf algebras. To do so, we introduce new analogs of a Lie algebra in the setting of a braided monoidal category, using the notion of a braided operad.
Craig Westerland
wiley   +1 more source

Syzygies and the Rees algebra

Journal of Pure and Applied Algebra, 2008
Let \(R\) be a standard graded polynomial ring in two variables and let \(I=(a,b,c)\) where \(a,b\) and \(c\) are linearly independent homogeneous polynomials with the same degree \(d\). Let \(\text{Rees} (I) = R \oplus I \oplus I^2 \oplus I^3 \oplus \cdots \) be the Rees algebra of \(I\).
Cox, David, Hoffman, J. William, Wang, Haohao   +2 more
openaire   +2 more sources