Transformations Preserving Null Line Sections of a Domain: The Arbitrary Signature Case

1986 ◽  
Vol 9 (1-2) ◽  
pp. 107-118 ◽  
Author(s):  
J. A. Lester ◽  
J. A. Lester
Keyword(s):  
Null Line ◽  
Arbitrary Signature

PUSHOUTS OF PARTIAL HOMOMORPHISMS OF PARTIAL ALGEBRAS II: CLOSED QUOMORPHISMS

2003 ◽  
Vol 02 (04) ◽  
pp. 471-500
Author(s):  
R. ALBERICH ◽  
F. ROSSELLÓ
Keyword(s):  
Basic Problem ◽  
Arbitrary Signature ◽  
Partial Algebras

We characterize the pairs of closed homomorphisms and closed quomorphisms of partial Σ-algebras that have a pushout in the corresponding category, for an arbitrary signature Σ. The latter characterization solves the basic problem previous to the development of a single-pushout approach to the transformation of partial algebras based on closed quomorphisms.

scholarly journals Four-dimensional vector multiplets in arbitrary signature (I)

2020 ◽  
Vol 17 (10) ◽  
pp. 2050150 ◽  
Author(s):  
V. Cortés ◽  
L. Gall ◽  
T. Mohaupt
Keyword(s):  
Vector Space ◽  
Classification Problem ◽  
Lie Superalgebras ◽  
Symmetry Groups ◽  
Sufficient Condition ◽  
Dimensional Vector ◽  
Necessary And Sufficient Condition ◽  
Arbitrary Signature ◽  
Necessary And Sufficient ◽  
R Symmetry

We derive a necessary and sufficient condition for Poincaré Lie superalgebras in any dimension and signature to be isomorphic. This reduces the classification problem, up to certain discrete operations, to classifying the orbits of the Schur group on the vector space of superbrackets. We then classify four-dimensional [Formula: see text] supersymmetry algebras, which are found to be unique in Euclidean and in neutral signature, while in Lorentz signature there exist two algebras with R-symmetry groups [Formula: see text] and [Formula: see text], respectively.

scholarly journals Generation of a new six1-null line in Xenopus tropicalis for study of development and congenital disease

2021 ◽  
Author(s):  
Kelsey Coppenrath ◽  
Andre Luiz Pasqua Tavares ◽  
Nikko-Ideen Shaidani ◽  
Marcin Wlizla ◽  
Sally A Moody ◽  
...  
Keyword(s):  
Target Genes ◽  
Branchial Arch ◽  
Xenopus Tropicalis ◽  
Mutant Line ◽  
Otic Vesicle ◽  
Null Line ◽  
Congenital Disease ◽  
Sine Oculis ◽  
Larval Stages ◽  
Cranial Ganglia

The vertebrate Six (Sine oculis homeobox) family of homeodomain transcription factors play critical roles in the development of several organs. Six1 plays a central role in cranial placode development, including the precursor tissues of the inner ear, as well as other cranial sensory organs and the kidney. In humans, mutations in SIX1 underlie some cases of branchio-oto-renal syndrome (BOR), which is characterized by moderate to severe hearing loss. We utilized CRISPR/Cas9 technology to establish a six1 mutant line in Xenopus tropicalis that is available to the research community. We demonstrate that at larval stages, the six1-null animals show severe disruptions in gene expression of putative Six1 target genes in the otic vesicle, cranial ganglia, branchial arch and neural tube. At tadpole stages, six1-null animals display dysmorphic Meckel's, ceratohyal and otic capsule cartilage morphology. This mutant line will be of value for the study of the development of several organs as well as congenital syndromes that involve these tissues.

scholarly journals Darmon points on elliptic curves over number fields of arbitrary signature

2015 ◽  
Vol 111 (2) ◽  
pp. 484-518 ◽  
Author(s):  
Xavier Guitart ◽  
Marc Masdeu ◽  
Mehmet Haluk Şengün
Keyword(s):  
Elliptic Curves ◽  
Number Fields ◽  
Arbitrary Signature

Spontaneous reduction in multidimensional (D=10, 11) supergravity theories with arbitrary signature

1987 ◽  
Vol 70 (3) ◽  
pp. 297-304 ◽  
Author(s):  
I. Ya. Aref'eva ◽  
I. V. Volovich ◽  
B. G. Dragovic
Keyword(s):  
Spontaneous Reduction ◽  
Arbitrary Signature

scholarly journals Molecular basis for the CAT-2 null phenotype in maize.

Genetics ◽  
1988 ◽  
Vol 118 (1) ◽  
pp. 149-153
Author(s):  
L A Bethards ◽  
J G Scandalios
Keyword(s):  
Gene Expression ◽  
Molecular Basis ◽  
Protein Identification ◽  
Null Line ◽  
Maize Line ◽  
S1 Nuclease ◽  
Developmental Patterns ◽  
Catalase Gene ◽  
Null Phenotype ◽  
Rna Blots

Abstract Previous reports have described several maize lines whose developmental patterns of catalase gene expression vary from the "typical" maize line, W64A. Among these variants are the lines A16 and A338, both found to be null for the CAT-2 protein. Identification of a third CAT-2 null line, designated A340, is described. RNA blots and S1 nuclease protection analysis indicate that all three CAT-2 null lines produce a similarly shortened Cat2 transcript. The molecular basis for this aberrant Cat2 transcript is discussed.

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