scholarly journals Generating subdirect products

2019 ◽  
Vol 100 (2) ◽  
pp. 404-424 ◽  
Author(s):  
Peter Mayr ◽  
Nik Ruškuc
Keyword(s):  
Subdirect Products

scholarly journals Kähler groups and subdirect products of surface groups

2020 ◽  
Vol 24 (2) ◽  
pp. 971-1017
Author(s):  
Claudio Llosa Isenrich
Keyword(s):  
Surface Groups ◽  
Kähler Groups ◽  
Subdirect Products

scholarly journals On the lattice of varieties of completely regular semigroups

1983 ◽  
Vol 35 (2) ◽  
pp. 227-235 ◽  
Author(s):  
P. R. Jones
Keyword(s):  
Lattice Of Varieties ◽  
Regular Semigroups ◽  
Completely Regular ◽  
Variety Of Groups ◽  
Completely Regular Semigroups ◽  
Subdirect Products

AbstractSeveral morphisms of this lattice V(CR) are found, leading to decompostions of it, and various sublattices, into subdirect products of interval sublattices. For example the map V → V ∪ G (where G is the variety of groups) is shown to be a retraction of V(CR); from modularity of the lattice V(BG) of varieties of bands of groups it follows that the map V → (V ∪ V V G) is an isomorphism of V(BG).

scholarly journals Subdirect products of semirings

2001 ◽  
Vol 26 (9) ◽  
pp. 539-545
Author(s):  
P. Mukhopadhyay
Keyword(s):  
Distributive Lattice ◽  
Subdirect Product ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Subdirect Products ◽  
Necessary And Sufficient

Bandelt and Petrich (1982) proved that an inversive semiringSis a subdirect product of a distributive lattice and a ring if and only ifSsatisfies certain conditions. The aim of this paper is to obtain a generalized version of this result. The main purpose of this paper however, is to investigate, what new necessary and sufficient conditions need we impose on an inversive semiring, so that, in its aforesaid representation as a subdirect product, the “ring” involved can be gradually enriched to a “field.” Finally, we provide a construction of fullE-inversive semirings, which are subdirect products of a semilattice and a ring.

Large subdirect products of flat modules

1996 ◽  
Vol 24 (4) ◽  
pp. 1389-1407 ◽  
Author(s):  
L. Oyonarte ◽  
B. Torrecillas
Keyword(s):  
Flat Modules ◽  
Subdirect Products

scholarly journals Subdirect products of rings and distributive lattices

1982 ◽  
Vol 25 (2) ◽  
pp. 155-171 ◽  
Author(s):  
Hans-J. Bandelt ◽  
Mario Petrich
Keyword(s):  
Unary Operation ◽  
General Construction ◽  
Distributive Lattices ◽  
Identity Mapping ◽  
Additive Subgroup ◽  
Binary Operations ◽  
Subdirect Products

Rings and distributive lattices can both be considered as semirings with commutative regular addition. Within this framework we can consider subdirect products of rings and distributive lattices. We may also require that the semirings with these restrictions are regarded as algebras with two binary operations and the unary operation of additive inversion (within the additive subgroup of the semiring). We can also consider distributive lattices with the two binary operations and the identity mapping as the unary operation. This makes it possible to speak of the join of ring varieties and distributive lattices. We restrict the ring varieties in order that their join with distributive lattices consist only of subdirect products. In certain cases these subdirect products can be obtained via a general construction of semirings by means of rings and distributive lattices.

scholarly journals On the finite presentation of subdirect products and the nature of residually free groups

2013 ◽  
Vol 135 (4) ◽  
pp. 891-933 ◽  
Author(s):  
Martin R. Bridson ◽  
James Howie ◽  
Charles F. Miller ◽  
Hamish Short
Keyword(s):  
Free Groups ◽  
Finite Presentation ◽  
Subdirect Products

On a cancellation rule for subdirect products of lattice ordered groups and of GMV-algebras

2007 ◽  
Vol 57 (3) ◽  
Author(s):  
Ján Jakubík
Keyword(s):  
Present Note ◽  
Variety Of Algebras ◽  
Subdirect Decomposition ◽  
Ordered Groups ◽  
Lattice Ordered Groups ◽  
Subdirect Products

AbstractThe notion of internal subdirect decomposition can be defined in each variety of algebras. In the present note we prove the validity of a cancellation rule concerning such decompositions for lattice ordered groups and for GMV-algebras. For the case of groups, this cancellation rule fails to be valid.

On subdirect products of type FP m of limit groups

2010 ◽  
Vol 13 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Dessislava H. Kochloukova
Keyword(s):  
Limit Groups ◽  
Subdirect Products

scholarly journals On subdirect products of free pro-p groups and Demushkin groups of infinite depth

2011 ◽  
Vol 343 (1) ◽  
pp. 160-172 ◽  
Author(s):  
Dessislava H. Kochloukova ◽  
Hamish Short
Keyword(s):  
Infinite Depth ◽  
Subdirect Products
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