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We will consider unital rings A with free additive group, and want to construct (in ZFC) for each natural number k a family of $ℵ_{k}$ -free A-modules G which are separable as abelian groups with special decompositions. Recall that an A-module G is $ℵ_{k}$ -free if every subset of size $< ℵ_{k}$ is contained in a free submodule (we will refine this in Definition 3.2); and it is separable as an abelian group if any finite subset of G is contained in a free direct summand of G. Despite the fact that such a module G is...

$(ℓ, 0)$ -Carter partitions, their crystal-theoretic behavior and generating function.

Berg, Chris, Vazirani, Monica (2008)

The Electronic Journal of Combinatorics [electronic only]

$𝒯$ -Prime Subsets in Semigroups

Bedřich Pondělíček (1975)

Matematický časopis

$(S_{3}, S_{6})$ -Amalgams IV

Wolfgang Lempken, Christopher Parker, Peter Rowley (2005)

Rendiconti del Seminario Matematico della Università di Padova

$(S_{3}, S_{6})$ -Amalgams V

Wolfgang Lempken, Christopher Parker, Peter Rowley (2007)

Rendiconti del Seminario Matematico della Università di Padova

$(S_{3}, S_{6})$ -Amalgams VI

Wolfgang Lempken, Christopher Parker, Peter Rowley (2007)

Rendiconti del Seminario Matematico della Università di Padova

$(S_{3}, S_{6})$ -Amalgams VII

Wolfgang Lempken, Christopher Parker, Peter Rowley (2008)

Rendiconti del Seminario Matematico della Università di Padova

$𝐇$ -valued differential forms on $𝐇$

Souček, Vladimír (1984)

Proceedings of the 11th Winter School on Abstract Analysis

$\exists$ -свободные группы.

В.Н. Ремесленников (1989)

Sibirskij matematiceskij zurnal

(0,1) - Matrices and semigroups of ring endomorphisms.

C.J. Maxson (1972)

Semigroup forum

$1 \frac{1}{2}$ -generation of finite simple groups.

Stein, Alexander (1998)

Beiträge zur Algebra und Geometrie

$1$ -cocycles on the group of contactomorphisms on the supercircle $S^{1 | 3}$ generalizing the Schwarzian derivative

Boujemaa Agrebaoui, Raja Hattab (2016)

Czechoslovak Mathematical Journal

The relative cohomology $H_{diff}^{1} (𝕂 (1 | 3), 𝔬𝔰𝔭 (2, 3); 𝒟_{λ, μ} (S^{1 | 3}))$ of the contact Lie superalgebra $𝕂 (1 | 3)$ with coefficients in the space of differential operators $𝒟_{λ, μ} (S^{1 | 3})$ acting on tensor densities on $S^{1 | 3}$ , is calculated in N. Ben Fraj, I. Laraied, S. Omri (2013) and the generating $1$ -cocycles are expressed in terms of the infinitesimal super-Schwarzian derivative $1$ -cocycle $s (X_{f}) = D_{1} D_{2} D_{3} (f) α_{3}^{1 / 2}$ , $X_{f} \in 𝕂 (1 | 3)$ which is invariant with respect to the conformal subsuperalgebra $𝔬𝔰𝔭 (2, 3)$ of $𝕂 (1 | 3)$ . In this work we study the supergroup case. We give an explicit construction of $1$ -cocycles of the group...

(1,4)-groups with homocyclic regulator quotient of exponent p³

David M. Arnold, Adolf Mader, Otto Mutzbauer, Ebru Solak (2015)

Colloquium Mathematicae

The class of almost completely decomposable groups with a critical typeset of type (1,4) and a homocyclic regulator quotient of exponent p³ is shown to be of bounded representation type. There are precisely four near-isomorphism classes of indecomposables, all of rank 6.

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