Results 11 to 20 of about 3,342 (65)
Beyond Regular Semigroups [PDF]
, 2012 The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
core +6 more sources
Smarandache Idempotents infinite ring Zn and in Group Ring ZnG [PDF]
, 2005 This paper has 4 sections. In section 1, we just give the basic definition of S-idempotents in rings. In section 2, we prove the existence of S-idempotents in the ring Zn where n = 2mp;m 2 N and p is an odd ...
Vasantha, W.B, Chetry, Moon K.
core +1 more source
Every group is a maximal subgroup of the free idempotent generated semigroup over a band [PDF]
, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik +3 more
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Journal of Applied Mathematics, Volume 2013, Issue 1, 2013., 2013 As a generalization of α‐skew McCoy rings, we introduce the concept of α‐skew π‐McCoy rings, and we study the relationships with another two new generalizations, α‐skew π1‐McCoy rings and α‐skew π2‐McCoy rings, observing the relations with α‐skew McCoy rings, π‐McCoy rings, α‐skew Armendariz rings, π‐regular rings, and other kinds of rings.
Areej M. Abduldaim +2 more
wiley +1 more source
Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid [PDF]
, 2011 Let Tn be the full transformation semigroup of all mappings from the set {1, . . . , n} to itself under composition. Let E = E(Tn) denote the set of idempotents of Tn and let e ∈ E be an arbitrary idempotent satisfying |im (e)| = r ≤ n − 2. We prove that
Ruskuc, N. +3 more
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The Generalization of Prime Modules
Algebra, Volume 2013, Issue 1, 2013., 2013 Piecewise prime (PWP) module MR is defined in terms of a set of triangulating idempotents in R. The class of PWP modules properly contains the class of prime modules. Some properties of these modules are investigated here.
M. Gurabi, Masoud Hajarian
wiley +1 more source
Semigroups of order-decreasing transformations [PDF]
, 2012 Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been
Umar, Abdullahi
core +2 more sources
Some Notes on Semiabelian Rings
International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 It is proved that if a ring R is semiabelian, then so is the skew polynomial ring R[x; σ], where σ is an endomorphism of R satisfying σ(e) = e for all e ∈ E(R). Some characterizations and properties of semiabelian rings are studied.
Junchao Wei, Nanjie Li, Frank Sommen
wiley +1 more source
Idempotents, free products and quandle coverings [PDF]
, 2022 In this paper, we investigate idempotents in quandle rings and relate them with quandle coverings. We prove that integral quandle rings of quandles of finite type that are non-trivial coverings over nice base quandles admit infinitely many non-trivial ...
Elhamdadi, Mohamed +3 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2011, Issue 1, 2011., 2011 We introduce in this paper the concept of left WMC2 rings and concern ourselves with rings containing an injective maximal left ideal. Some known results for left idempotent reflexive rings and left HI rings can be extended to left WMC2 rings. As applications, we are able to give some new characterizations of regular left self‐injective rings with ...
Junchao Wei, Frank Werner
wiley +1 more source