Results 41 to 50 of about 2,382,464 (78)

A p$p$‐adic approach to the existence of level‐raising congruences

open access: yesProceedings of the London Mathematical Society, Volume 128, Issue 2, February 2024.
Abstract We construct level‐raising congruences between p$p$‐ordinary automorphic representations, and apply this to the problem of symmetric power functoriality for Hilbert modular forms. In particular, we prove the existence of the nth$n\text{th}$ symmetric power lift of a Hilbert modular eigenform of regular weight for each odd integer n=1,3,⋯,25$n =
Jack A. Thorne
wiley   +1 more source

Equivariant resolutions over Veronese rings

open access: yesJournal of the London Mathematical Society, Volume 109, Issue 1, January 2024.
Abstract Working in a polynomial ring S=k[x1,…,xn]$S={\mathbf {k}}[x_1,\ldots ,x_n]$, where k${\mathbf {k}}$ is an arbitrary commutative ring with 1, we consider the d$d$th Veronese subalgebras R=S(d)$R={S^{(d)}}$, as well as natural R$R$‐submodules M=S(⩾r,d)$M={S^{({\geqslant r},{d})}}$ inside S$S$.
Ayah Almousa   +4 more
wiley   +1 more source

Hamiltonian ordered algebras and congruence extension

open access: yes, 2017
We introduce the notion of Hamiltonian ordered algebra and explore its relationships with various congruence extension properties for ordered algebras. Furthermore, we give sufficient conditions for extending order-congruences or compatible quasiorders ...
Lauri Tart, Valdis Laan, Nasir Sohail
core   +1 more source

A study of universal algebras in fuzzy set theory [PDF]

open access: yes, 1988
This thesis attempts a synthesis of two important and fast developing branches of mathematics, namely universal algebra and fuzzy set theory. Given an abstract algebra [X,F] where X is a non-empty set and F is a set of finitary operations on X, a fuzzy ...
Murali, V
core   +1 more source

Cubic Subalgebras and Cubic Closed Ideals of B-algebras

open access: yes, 2015
In this paper, the concept of cubic set to subalgebras, ideals and closed ideals of B-algebras are introduced. Relations among cubic subalgebras with cubic ideals and cubic closed ideals of B-algebras investigated. The homomorphic image and inverse image
Tapan Senapati   +3 more
core   +1 more source

Maximal subalgebras of Jordan superalgebras [PDF]

open access: yes, 2008
The maximal subalgebras of the finite-dimensional simple special Jordan superalgebras over an algebraically closed field of characteristic 0 are studied.
Jesús Laliena   +7 more
core   +1 more source

Solvable complemented Lie algebras. [PDF]

open access: yes, 2012
In this paper a characterisation is given of solvable complemented Lie algebras. They decompose as a direct sum of abelian subalgebras and their ideals relate nicely to this decomposition.
Towers, David A.
core   +2 more sources

Absolute Retracts and Amalgamation in Certain Congruence Distributive Varieties

open access: yes, 1989
It is shown that if V is a congruence distributive variety whose members have one element subalgebras, then the class of absolute retracts of V is closed under direct products.
Henry Rose, Peter Jipsen
core   +1 more source

Algebras satisfying congruence relations

open access: yes, 1975
It is shown that the classical nonassociative algebras which have an identity element can be defined in terms of congruence relations modulo the base field.
Michael Rich   +2 more
core   +1 more source

Fully invariant and verbal congruence relations [PDF]

open access: yes, 2013
A congruence relation theta on an algebra A is fully invariant if every endomorphism of A preserves theta. A congruence theta is verbal if there exists a variety such that theta is the least congruence of A such that . Every verbal congruence relation is
Clifford Bergman (7937270)   +1 more
core   +1 more source

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